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1 {
2   "schema": 1,
3   "block": "SF-LEAN-B17",
4   "status": "passed",
5   "started_utc": "2026-11-03T16:08:10Z",
6   "platform": "Windows-11-10.0.26200-SP0",
7   "python": "3.12.14 (main, Aug 25 2026, 14:01:42) [MSC v.1944 64 bit (AMD64)]",
8   "scope": "Appendix J exact rational bounded first-small ladder and guarded reverse-fold specification, explicit step/size errors, binary-width guard and abstract input-validation order; successful results certify actual complex bounds and real endpoints. Actual Python interpreter/Fraction/stdlib/type-classification/dictionary refinement, other J claims, I and A-E remain open.",
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184         "-j1",
185         "-DwarningAsError=true",
186         "-o",
187         "CoupledFormal.olean",
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222         "-j1",
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242         "-j1",
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244         "CoupledAnalyticAudit.lean"
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260         "-j1",
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412         "-j1",
413         "-DwarningAsError=true",
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432         "-j1",
433         "-DwarningAsError=true",
434         "CoupledCharacteristicAudit.lean"
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451         "-DwarningAsError=true",
452         "-o",
453         "CoupledPositiveReal.olean",
454         "CoupledPositiveReal.lean"
455       ],
456       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
457       "exit_code": 0,
458       "expected_exit_code": 0,
459       "required_diagnostic": null,
460       "timed_out": false,
461       "seconds": 24.078,
462       "passed": true,
463       "log": "compile-CoupledPositiveReal.log",
464       "log_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
465     },
466     {
467       "name": "audit-CoupledPositiveReal",
468       "argv": [
469         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\lean.exe",
470         "-j1",
471         "-DwarningAsError=true",
472         "CoupledPositiveRealAudit.lean"
473       ],
474       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
475       "exit_code": 0,
476       "expected_exit_code": 0,
477       "required_diagnostic": null,
478       "timed_out": false,
479       "seconds": 20.703,
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481       "log": "audit-CoupledPositiveReal.log",
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483     },
484     {
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486       "argv": [
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488         "-j1",
489         "-DwarningAsError=true",
490         "-o",
491         "CoupledLowerGrowth.olean",
492         "CoupledLowerGrowth.lean"
493       ],
494       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
495       "exit_code": 0,
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498       "timed_out": false,
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503     },
504     {
505       "name": "audit-CoupledLowerGrowth",
506       "argv": [
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508         "-j1",
509         "-DwarningAsError=true",
510         "CoupledLowerGrowthAudit.lean"
511       ],
512       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
513       "exit_code": 0,
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519       "log": "audit-CoupledLowerGrowth.log",
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521     },
522     {
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524       "argv": [
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526         "-j1",
527         "-DwarningAsError=true",
528         "-o",
529         "CoupledUpperGrowth.olean",
530         "CoupledUpperGrowth.lean"
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532       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
533       "exit_code": 0,
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539       "log": "compile-CoupledUpperGrowth.log",
540       "log_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
541     },
542     {
543       "name": "audit-CoupledUpperGrowth",
544       "argv": [
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546         "-j1",
547         "-DwarningAsError=true",
548         "CoupledUpperGrowthAudit.lean"
549       ],
550       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
551       "exit_code": 0,
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559     },
560     {
561       "name": "compile-CoupledGrowthTypes",
562       "argv": [
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564         "-j1",
565         "-DwarningAsError=true",
566         "-o",
567         "CoupledGrowthTypes.olean",
568         "CoupledGrowthTypes.lean"
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570       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
571       "exit_code": 0,
572       "expected_exit_code": 0,
573       "required_diagnostic": null,
574       "timed_out": false,
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577       "log": "compile-CoupledGrowthTypes.log",
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579     },
580     {
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584         "-j1",
585         "-DwarningAsError=true",
586         "CoupledGrowthTypesAudit.lean"
587       ],
588       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
589       "exit_code": 0,
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598     {
599       "name": "compile-CoupledTypeProportions",
600       "argv": [
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602         "-j1",
603         "-DwarningAsError=true",
604         "-o",
605         "CoupledTypeProportions.olean",
606         "CoupledTypeProportions.lean"
607       ],
608       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
609       "exit_code": 0,
610       "expected_exit_code": 0,
611       "required_diagnostic": null,
612       "timed_out": false,
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614       "passed": true,
615       "log": "compile-CoupledTypeProportions.log",
616       "log_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
617     },
618     {
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622         "-j1",
623         "-DwarningAsError=true",
624         "CoupledTypeProportionsAudit.lean"
625       ],
626       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
627       "exit_code": 0,
628       "expected_exit_code": 0,
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630       "timed_out": false,
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633       "log": "audit-CoupledTypeProportions.log",
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635     },
636     {
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640         "-j1",
641         "-DwarningAsError=true",
642         "-o",
643         "CoupledScalarReduction.olean",
644         "CoupledScalarReduction.lean"
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646       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
647       "exit_code": 0,
648       "expected_exit_code": 0,
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653       "log": "compile-CoupledScalarReduction.log",
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655     },
656     {
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660         "-j1",
661         "-DwarningAsError=true",
662         "CoupledScalarReductionAudit.lean"
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673     },
674     {
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678         "-j1",
679         "-DwarningAsError=true",
680         "-o",
681         "CoupledOperator.olean",
682         "CoupledOperator.lean"
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694     {
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698         "-j1",
699         "-DwarningAsError=true",
700         "CoupledOperatorAudit.lean"
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702       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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712     {
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716         "-j1",
717         "-DwarningAsError=true",
718         "-o",
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720         "CoupledEvaluation.lean"
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732     {
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736         "-j1",
737         "-DwarningAsError=true",
738         "CoupledEvaluationAudit.lean"
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740       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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750     {
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754         "-j1",
755         "-DwarningAsError=true",
756         "-o",
757         "CoupledNormalization.olean",
758         "CoupledNormalization.lean"
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760       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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769     },
770     {
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772       "argv": [
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774         "-j1",
775         "-DwarningAsError=true",
776         "CoupledNormalizationAudit.lean"
777       ],
778       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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787     },
788     {
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792         "-j1",
793         "-DwarningAsError=true",
794         "-o",
795         "CoupledGuardedMajorant.olean",
796         "CoupledGuardedMajorant.lean"
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798       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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807     },
808     {
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812         "-j1",
813         "-DwarningAsError=true",
814         "CoupledGuardedMajorantAudit.lean"
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831         "CoupledFormal"
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882         "CoupledUniqueness"
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894     {
895       "name": "kernel-CoupledGermInverse",
896       "argv": [
897         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
898         "--verbose",
899         "CoupledGermInverse"
900       ],
901       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
902       "exit_code": 0,
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908       "log": "kernel-CoupledGermInverse.log",
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910     },
911     {
912       "name": "kernel-CoupledRescaling",
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915         "--verbose",
916         "CoupledRescaling"
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918       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
919       "exit_code": 0,
920       "expected_exit_code": 0,
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923       "seconds": 24.422,
924       "passed": true,
925       "log": "kernel-CoupledRescaling.log",
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927     },
928     {
929       "name": "kernel-CoupledCharacteristic",
930       "argv": [
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933         "CoupledCharacteristic"
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935       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
936       "exit_code": 0,
937       "expected_exit_code": 0,
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940       "seconds": 24.531,
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942       "log": "kernel-CoupledCharacteristic.log",
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944     },
945     {
946       "name": "kernel-CoupledPositiveReal",
947       "argv": [
948         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
949         "--verbose",
950         "CoupledPositiveReal"
951       ],
952       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
953       "exit_code": 0,
954       "expected_exit_code": 0,
955       "required_diagnostic": "replaying CoupledPositiveReal",
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957       "seconds": 23.469,
958       "passed": true,
959       "log": "kernel-CoupledPositiveReal.log",
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962     {
963       "name": "kernel-CoupledLowerGrowth",
964       "argv": [
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966         "--verbose",
967         "CoupledLowerGrowth"
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969       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
970       "exit_code": 0,
971       "expected_exit_code": 0,
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978     },
979     {
980       "name": "kernel-CoupledUpperGrowth",
981       "argv": [
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984         "CoupledUpperGrowth"
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986       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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993       "log": "kernel-CoupledUpperGrowth.log",
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996     {
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998       "argv": [
999         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
1000         "--verbose",
1001         "CoupledGrowthTypes"
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1003       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1004       "exit_code": 0,
1005       "expected_exit_code": 0,
1006       "required_diagnostic": "replaying CoupledGrowthTypes",
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1013     {
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1017         "--verbose",
1018         "CoupledTypeProportions"
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1020       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1021       "exit_code": 0,
1022       "expected_exit_code": 0,
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1025       "seconds": 23.328,
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1029     },
1030     {
1031       "name": "kernel-CoupledScalarReduction",
1032       "argv": [
1033         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
1034         "--verbose",
1035         "CoupledScalarReduction"
1036       ],
1037       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1038       "exit_code": 0,
1039       "expected_exit_code": 0,
1040       "required_diagnostic": "replaying CoupledScalarReduction",
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1042       "seconds": 22.859,
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1044       "log": "kernel-CoupledScalarReduction.log",
1045       "log_sha256": "07eb9281238890692b04d108486325738b74533d0f639dd082ce915a7cedac39"
1046     },
1047     {
1048       "name": "kernel-CoupledOperator",
1049       "argv": [
1050         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
1051         "--verbose",
1052         "CoupledOperator"
1053       ],
1054       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1055       "exit_code": 0,
1056       "expected_exit_code": 0,
1057       "required_diagnostic": "replaying CoupledOperator",
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1059       "seconds": 22.781,
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1061       "log": "kernel-CoupledOperator.log",
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1063     },
1064     {
1065       "name": "kernel-CoupledEvaluation",
1066       "argv": [
1067         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
1068         "--verbose",
1069         "CoupledEvaluation"
1070       ],
1071       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1072       "exit_code": 0,
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1078       "log": "kernel-CoupledEvaluation.log",
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1080     },
1081     {
1082       "name": "kernel-CoupledNormalization",
1083       "argv": [
1084         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
1085         "--verbose",
1086         "CoupledNormalization"
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1088       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1089       "exit_code": 0,
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1097     },
1098     {
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1100       "argv": [
1101         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\leanchecker.exe",
1102         "--verbose",
1103         "CoupledGuardedMajorant"
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1105       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1106       "exit_code": 0,
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1110       "seconds": 23.438,
1111       "passed": true,
1112       "log": "kernel-CoupledGuardedMajorant.log",
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1114     },
1115     {
1116       "name": "control-MissingSuccess",
1117       "argv": [
1118         "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\.tools\\lean-4.34.0-rc2-windows\\bin\\lean.exe",
1119         "-j1",
1120         "-DwarningAsError=true",
1121         "control-MissingSuccess.lean"
1122       ],
1123       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1124       "exit_code": 1,
1125       "expected_exit_code": 1,
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1128       "seconds": 26.266,
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1130       "log": "control-MissingSuccess.log",
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1133     {
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1135       "argv": [
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1137         "-j1",
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1139         "control-WrongFoldOrder.lean"
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1141       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
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1151     {
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1157         "control-SeedSizeCheck.lean"
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1159       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1160       "exit_code": 1,
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1164       "seconds": 21.578,
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1166       "log": "control-SeedSizeCheck.log",
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1168     },
1169     {
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1175         "control-Placeholder.lean"
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1177       "cwd": "C:\\Users\\victor\\Documents\\Codex\\2026-11-02\\machine-societies-has-the-clearest-unfinished\\guarded-majorant-replay-001\\build",
1178       "exit_code": 1,
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1184       "log": "control-Placeholder.log",
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1186     },
1187     {
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1193         "control-GuardedInterfaces.lean"
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1536       "Komorebi.SpecialFunctions.Coupled.Scales.lowerShift_positive",
1537       "Komorebi.SpecialFunctions.Coupled.Scales.lowerDescent_positive",
1538       "Komorebi.SpecialFunctions.Coupled.Scales.lowerPowerConstant_positive",
1539       "Komorebi.SpecialFunctions.Coupled.Scales.shifted_child_radius",
1540       "Komorebi.SpecialFunctions.Coupled.Scales.child_radius_descent",
1541       "Komorebi.SpecialFunctions.Coupled.Scales.real_radius_descent_induction",
1542       "Komorebi.SpecialFunctions.Coupled.Scales.lower_power_seed",
1543       "Komorebi.SpecialFunctions.Coupled.Scales.lower_power_step",
1544       "Komorebi.SpecialFunctions.Coupled.Scales.coupled_lower_log_power",
1545       "Komorebi.SpecialFunctions.Coupled.Scales.normalizedCharacteristicVector_le_one",
1546       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_lower_log_power",
1547       "Komorebi.SpecialFunctions.Coupled.Scales.lower_log_power_ratio",
1548       "Komorebi.SpecialFunctions.Coupled.Scales.canonicalLowerCoefficient_positive",
1549       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_lower_growth_ratio",
1550       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_lower_norm_power"
1551     ],
1552     "count": 16,
1553     "axioms": [
1554       "Classical.choice",
1555       "Quot.sound",
1556       "propext"
1557     ]
1558   },
1559   "CoupledUpperGrowth_audit": {
1560     "names": [
1561       "Komorebi.SpecialFunctions.Coupled.Scales.full_radius_upper_from_deriv",
1562       "Komorebi.SpecialFunctions.Coupled.Scales.real_axis_full_upper",
1563       "Komorebi.SpecialFunctions.Coupled.Scales.real_axis_at_one_le_two",
1564       "Komorebi.SpecialFunctions.Coupled.Scales.upperRadius_ge_one",
1565       "Komorebi.SpecialFunctions.Coupled.Scales.upperRadius_child",
1566       "Komorebi.SpecialFunctions.Coupled.Scales.upperSeed_ge_one",
1567       "Komorebi.SpecialFunctions.Coupled.Scales.real_axis_upper_ladder",
1568       "Komorebi.SpecialFunctions.Coupled.Scales.upperLogSeed_recurrence",
1569       "Komorebi.SpecialFunctions.Coupled.Scales.upperSeed_log_le",
1570       "Komorebi.SpecialFunctions.Coupled.Scales.scaleDelay_positive",
1571       "Komorebi.SpecialFunctions.Coupled.Scales.scaleDelay_bounds",
1572       "Komorebi.SpecialFunctions.Coupled.Scales.upperCorrection_positive",
1573       "Komorebi.SpecialFunctions.Coupled.Scales.upperCorrection_rows",
1574       "Komorebi.SpecialFunctions.Coupled.Scales.exp_one_lt_three",
1575       "Komorebi.SpecialFunctions.Coupled.Scales.exists_upper_seed_index",
1576       "Komorebi.SpecialFunctions.Coupled.Scales.upper_seed_exp_radius",
1577       "Komorebi.SpecialFunctions.Coupled.Scales.real_axis_upper_log_seed",
1578       "Komorebi.SpecialFunctions.Coupled.Scales.log_upper_from_full",
1579       "Komorebi.SpecialFunctions.Coupled.Scales.real_axis_log_full_upper",
1580       "Komorebi.SpecialFunctions.Coupled.Scales.upperSeedBudget_positive",
1581       "Komorebi.SpecialFunctions.Coupled.Scales.upperPowerConstant_positive",
1582       "Komorebi.SpecialFunctions.Coupled.Scales.upper_power_seed",
1583       "Komorebi.SpecialFunctions.Coupled.Scales.exp_sub_scaleDelay",
1584       "Komorebi.SpecialFunctions.Coupled.Scales.real_axis_log_delayed_upper",
1585       "Komorebi.SpecialFunctions.Coupled.Scales.exp_weight_shift",
1586       "Komorebi.SpecialFunctions.Coupled.Scales.real_log_delay_induction",
1587       "Komorebi.SpecialFunctions.Coupled.Scales.upper_power_step",
1588       "Komorebi.SpecialFunctions.Coupled.Scales.coupled_upper_log_power",
1589       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_upper_log_power",
1590       "Komorebi.SpecialFunctions.Coupled.Scales.upperSeedIndex_spec",
1591       "Komorebi.SpecialFunctions.Coupled.Scales.canonicalUpperCoefficient_positive",
1592       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_upper_growth_ratio",
1593       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_two_sided_growth_ratio",
1594       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_upper_norm_power"
1595     ],
1596     "count": 34,
1597     "axioms": [
1598       "Classical.choice",
1599       "Quot.sound",
1600       "propext"
1601     ]
1602   },
1603   "CoupledGrowthTypes_audit": {
1604     "names": [
1605       "Komorebi.SpecialFunctions.Coupled.Scales.realComponent_positive",
1606       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_growth_ratio_bounds",
1607       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_growth_ratio_eventually",
1608       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_growth_ratio_bounded",
1609       "Komorebi.SpecialFunctions.Coupled.Scales.real_type_sandwich",
1610       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_bounds",
1611       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_types_positive",
1612       "Komorebi.SpecialFunctions.Coupled.Scales.loglog_ratio_sandwich",
1613       "Komorebi.SpecialFunctions.Coupled.Scales.tendsto_loglog_of_ratio_bounds",
1614       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_radial_exponent_limit",
1615       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_radial_order",
1616       "Komorebi.SpecialFunctions.Coupled.Scales.component_spherical_maximum",
1617       "Komorebi.SpecialFunctions.Coupled.Scales.component_real_norm",
1618       "Komorebi.SpecialFunctions.Coupled.Scales.norm_growth_ratio_eventually_eq",
1619       "Komorebi.SpecialFunctions.Coupled.Scales.norm_type_identification",
1620       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_norm_radial_limit",
1621       "Komorebi.SpecialFunctions.Coupled.Scales.maximumModulus_eq",
1622       "Komorebi.SpecialFunctions.Coupled.Scales.maximum_growth_ratio_eventually_eq",
1623       "Komorebi.SpecialFunctions.Coupled.Scales.maximum_type_identification",
1624       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_type_bounds",
1625       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_radial_limit",
1626       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_order"
1627     ],
1628     "count": 22,
1629     "axioms": [
1630       "Classical.choice",
1631       "Quot.sound",
1632       "propext"
1633     ]
1634   },
1635   "CoupledTypeProportions_audit": {
1636     "names": [
1637       "Komorebi.SpecialFunctions.Coupled.Scales.affine_scale_tendsto",
1638       "Komorebi.SpecialFunctions.Coupled.Scales.affine_power_ratio_tendsto",
1639       "Komorebi.SpecialFunctions.Coupled.Scales.lower_comparison_of_tendsto",
1640       "Komorebi.SpecialFunctions.Coupled.Scales.upper_comparison_of_tendsto",
1641       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_envelopes",
1642       "Komorebi.SpecialFunctions.Coupled.Scales.scaled_log_factorization",
1643       "Komorebi.SpecialFunctions.Coupled.Scales.scaled_type_envelopes",
1644       "Komorebi.SpecialFunctions.Coupled.Scales.log_power_correction_tendsto",
1645       "Komorebi.SpecialFunctions.Coupled.Scales.lower_type_row",
1646       "Komorebi.SpecialFunctions.Coupled.Scales.upper_type_row",
1647       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_lower_type_superinvariant",
1648       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_upper_type_subinvariant",
1649       "Komorebi.SpecialFunctions.Coupled.Scales.positive_dot_rigidity",
1650       "Komorebi.SpecialFunctions.Coupled.Scales.left_eigenvector_preserves_dot",
1651       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_fixed_vectors",
1652       "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_fixed_proportion",
1653       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_proportions",
1654       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_positive_type_proportions",
1655       "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_fixed_ratios",
1656       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_ratios",
1657       "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_type_limit_iff",
1658       "Komorebi.SpecialFunctions.Coupled.Scales.type_equality_iff_scalar_equality",
1659       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_limit_equivalence",
1660       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_limit_vector",
1661       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_type_proportions",
1662       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_type_limit_equivalence"
1663     ],
1664     "count": 26,
1665     "axioms": [
1666       "Classical.choice",
1667       "Quot.sound",
1668       "propext"
1669     ]
1670   },
1671   "CoupledScalarReduction_audit": {
1672     "names": [
1673       "Komorebi.SpecialFunctions.Coupled.Scales.positive_pair_from_product_and_square_sum",
1674       "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_coefficients",
1675       "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_product",
1676       "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_square_sum",
1677       "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_unordered_rows",
1678       "Komorebi.SpecialFunctions.Coupled.Scales.scalar_pair_solution",
1679       "Komorebi.SpecialFunctions.Coupled.Scales.unordered_rows_scalar_representation",
1680       "Komorebi.SpecialFunctions.Coupled.Scales.components_equal_iff_unordered_rows",
1681       "Komorebi.SpecialFunctions.Coupled.Scales.components_equal_iff_scale_pair_set",
1682       "Komorebi.SpecialFunctions.Coupled.Scales.characteristicExponent_eq_of_balance",
1683       "Komorebi.SpecialFunctions.Coupled.Scales.scalar_characteristic_balance_iff",
1684       "Komorebi.SpecialFunctions.Coupled.Scales.scalar_characteristic_order",
1685       "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_order_invariant",
1686       "Komorebi.SpecialFunctions.Coupled.Scales.complex_sinh_hasDerivAt",
1687       "Komorebi.SpecialFunctions.Coupled.Scales.sinh_half_derivative_identity",
1688       "Komorebi.SpecialFunctions.Coupled.Scales.scaled_sinh_half_equation",
1689       "Komorebi.SpecialFunctions.Coupled.Scales.halfScales_positive",
1690       "Komorebi.SpecialFunctions.Coupled.Scales.halfScales_strict",
1691       "Komorebi.SpecialFunctions.Coupled.Scales.scaled_sinh_half_solution",
1692       "Komorebi.SpecialFunctions.Coupled.Scales.sqrt_two_complex_square",
1693       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_half_sinh",
1694       "Komorebi.SpecialFunctions.Coupled.Scales.half_characteristic_order",
1695       "Komorebi.SpecialFunctions.Coupled.Scales.half_radial_order",
1696       "Komorebi.SpecialFunctions.Coupled.Scales.unequalScales_positive",
1697       "Komorebi.SpecialFunctions.Coupled.Scales.unequalScales_strict",
1698       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_characteristic_order",
1699       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_radial_order",
1700       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_normalized_vector",
1701       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_type_proportions",
1702       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_components_different",
1703       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_coefficients_through_seven",
1704       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_row_sums",
1705       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_lower_constants",
1706       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_explicit_lower_growth",
1707       "Komorebi.SpecialFunctions.Coupled.Scales.surface_cross_scale_contract",
1708       "Komorebi.SpecialFunctions.Coupled.Scales.order_surface_realization",
1709       "Komorebi.SpecialFunctions.Coupled.Scales.component_oddSum",
1710       "Komorebi.SpecialFunctions.Coupled.Scales.component_coefficient_majorant",
1711       "Komorebi.SpecialFunctions.Coupled.Scales.oddSum_truncation_eq_tail",
1712       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_complex_truncation_bound",
1713       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_four_term_remainder",
1714       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_degree_seven_polynomials",
1715       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_degree_seven_error"
1716     ],
1717     "count": 43,
1718     "axioms": [
1719       "Classical.choice",
1720       "Quot.sound",
1721       "propext"
1722     ]
1723   },
1724   "CoupledOperator_audit": {
1725     "names": [
1726       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_iff_scalar_functional",
1727       "Komorebi.SpecialFunctions.Coupled.Scales.nodePolynomial_differentiable",
1728       "Komorebi.SpecialFunctions.Coupled.Scales.nodePolynomial_zero",
1729       "Komorebi.SpecialFunctions.Coupled.Scales.nodePolynomial_values",
1730       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_scalar_fibers",
1731       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_row_sum_zero",
1732       "Komorebi.SpecialFunctions.Coupled.Scales.nonzero_row_first_ne_zero",
1733       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_scale_products",
1734       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_ordered_rows",
1735       "Komorebi.SpecialFunctions.Coupled.Scales.ordered_rows_field_zero",
1736       "Komorebi.SpecialFunctions.Coupled.Scales.ordered_rows_autonomous",
1737       "Komorebi.SpecialFunctions.Coupled.Scales.zero_row_autonomous",
1738       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_iff_zero_or_ordered",
1739       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_nonzero_classification",
1740       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_projected_field_zero",
1741       "Komorebi.SpecialFunctions.Coupled.Scales.no_nonzero_autonomous_if_rows_differ",
1742       "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_matrix_det_zero",
1743       "Komorebi.SpecialFunctions.Coupled.Scales.no_invertible_constant_decoupling",
1744       "Komorebi.SpecialFunctions.Coupled.Scales.local_projection_analytic",
1745       "Komorebi.SpecialFunctions.Coupled.Scales.local_field_analytic",
1746       "Komorebi.SpecialFunctions.Coupled.Scales.local_field_respects_component_germs",
1747       "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_iff_scalar_functional",
1748       "Komorebi.SpecialFunctions.Coupled.Scales.entire_field_differentiable",
1749       "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_implies_entire",
1750       "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_iff_entire",
1751       "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_nonzero_classification",
1752       "Komorebi.SpecialFunctions.Coupled.Scales.no_invertible_constant_germ_decoupling"
1753     ],
1754     "count": 27,
1755     "axioms": [
1756       "Classical.choice",
1757       "Quot.sound",
1758       "propext"
1759     ]
1760   },
1761   "CoupledEvaluation_audit": {
1762     "names": [
1763       "Komorebi.SpecialFunctions.Coupled.Scales.component_real_hasSum",
1764       "Komorebi.SpecialFunctions.Coupled.Scales.component_norm_summable",
1765       "Komorebi.SpecialFunctions.Coupled.Scales.component_real_nonneg",
1766       "Komorebi.SpecialFunctions.Coupled.Scales.component_real_mono",
1767       "Komorebi.SpecialFunctions.Coupled.Scales.component_at_real",
1768       "Komorebi.SpecialFunctions.Coupled.Scales.component_le_pairMax",
1769       "Komorebi.SpecialFunctions.Coupled.Scales.realPairMax_nonneg",
1770       "Komorebi.SpecialFunctions.Coupled.Scales.realPairMax_recurrence",
1771       "Komorebi.SpecialFunctions.Coupled.Scales.component_coefficient_le_one",
1772       "Komorebi.SpecialFunctions.Coupled.Scales.component_small_disk_bound",
1773       "Komorebi.SpecialFunctions.Coupled.Scales.pair_small_disk_bound",
1774       "Komorebi.SpecialFunctions.Coupled.Scales.diskMajorant_of_small",
1775       "Komorebi.SpecialFunctions.Coupled.Scales.pair_le_diskMajorant",
1776       "Komorebi.SpecialFunctions.Coupled.Scales.exists_diskMajorant_fuel",
1777       "Komorebi.SpecialFunctions.Coupled.Scales.component_disk_majorant",
1778       "Komorebi.SpecialFunctions.Coupled.Scales.disk_majorant_exists",
1779       "Komorebi.SpecialFunctions.Coupled.Scales.outer_power_comparison",
1780       "Komorebi.SpecialFunctions.Coupled.Scales.positive_odd_outer_remainder",
1781       "Komorebi.SpecialFunctions.Coupled.Scales.oddPolynomial_at_real",
1782       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_outer_remainder",
1783       "Komorebi.SpecialFunctions.Coupled.Scales.canonical_ladder_remainder",
1784       "Komorebi.SpecialFunctions.Coupled.Scales.real_polynomial_le_component",
1785       "Komorebi.SpecialFunctions.Coupled.Scales.real_evaluation_enclosure",
1786       "Komorebi.SpecialFunctions.Coupled.Scales.real_ladder_enclosure",
1787       "Komorebi.SpecialFunctions.Coupled.Scales.rationalDiskMajorant_cast",
1788       "Komorebi.SpecialFunctions.Coupled.Scales.rational_disk_majorant_sound",
1789       "Komorebi.SpecialFunctions.Coupled.Scales.rational_outer_remainder",
1790       "Komorebi.SpecialFunctions.Coupled.Scales.rational_real_enclosure",
1791       "Komorebi.SpecialFunctions.Coupled.Scales.rational_coefficients_cast",
1792       "Komorebi.SpecialFunctions.Coupled.Scales.rational_component_coefficient_cast",
1793       "Komorebi.SpecialFunctions.Coupled.Scales.rational_polynomial_cast",
1794       "Komorebi.SpecialFunctions.Coupled.Scales.rational_maxScale_cast",
1795       "Komorebi.SpecialFunctions.Coupled.Scales.rational_fuel_exists",
1796       "Komorebi.SpecialFunctions.Coupled.Scales.rational_endpoint_enclosure",
1797       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_last_thirty_tail_rational",
1798       "Komorebi.SpecialFunctions.Coupled.Scales.unequal_last_thirty_error"
1799     ],
1800     "count": 36,
1801     "axioms": [
1802       "Classical.choice",
1803       "Quot.sound",
1804       "propext"
1805     ]
1806   },
1807   "CoupledNormalization_audit": {
1808     "names": [
1809       "Komorebi.SpecialFunctions.Coupled.Scales.oddFactorial_ne_zero",
1810       "Komorebi.SpecialFunctions.Coupled.Scales.oddFactorial_zero",
1811       "Komorebi.SpecialFunctions.Coupled.Scales.oddFactorial_succ",
1812       "Komorebi.SpecialFunctions.Coupled.Scales.binomial_factorial_product",
1813       "Komorebi.SpecialFunctions.Coupled.Scales.binomial_factorial_quotient",
1814       "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_zero",
1815       "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_succ",
1816       "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_solution",
1817       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_solution_unique",
1818       "Komorebi.SpecialFunctions.Coupled.Scales.derivativeRow_factorialScale",
1819       "Komorebi.SpecialFunctions.Coupled.Scales.factorial_scaled_coefficients_solution",
1820       "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_factorial",
1821       "Komorebi.SpecialFunctions.Coupled.Scales.derivativeNext_congr",
1822       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_array_eq",
1823       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_array_length",
1824       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_array_entry",
1825       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_component_factorial",
1826       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_component_normalized",
1827       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_normalized_cast",
1828       "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_array_eq",
1829       "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_array_length",
1830       "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_array_entry",
1831       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_polynomial_eq",
1832       "Komorebi.SpecialFunctions.Coupled.Scales.array_polynomial_eq",
1833       "Komorebi.SpecialFunctions.Coupled.Scales.array_polynomial_cast",
1834       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_polynomial_cast",
1835       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_endpoint_enclosure",
1836       "Komorebi.SpecialFunctions.Coupled.Scales.array_endpoint_enclosure",
1837       "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_one",
1838       "Komorebi.SpecialFunctions.Coupled.Scales.derivative_normalization_first"
1839     ],
1840     "count": 30,
1841     "axioms": [
1842       "Classical.choice",
1843       "Quot.sound",
1844       "propext"
1845     ]
1846   },
1847   "CoupledGuardedMajorant_audit": {
1848     "names": [
1849       "Komorebi.SpecialFunctions.Coupled.Scales.ladder_terminal",
1850       "Komorebi.SpecialFunctions.Coupled.Scales.ladder_terminal_small",
1851       "Komorebi.SpecialFunctions.Coupled.Scales.ladder_adequate",
1852       "Komorebi.SpecialFunctions.Coupled.Scales.ladder_fold_eq",
1853       "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_ok",
1854       "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_of_trace",
1855       "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_ok_iff",
1856       "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_not_bits",
1857       "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_exists_of_adequate",
1858       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_fold_not_steps",
1859       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_fold_ok_iff",
1860       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_fold_bits_iff",
1861       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_success",
1862       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_small",
1863       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_zero",
1864       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_no_steps",
1865       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_disk_bound",
1866       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_endpoint_enclosure",
1867       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_step_failure",
1868       "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_bit_failure",
1869       "Komorebi.SpecialFunctions.Coupled.Scales.size_fits_iff",
1870       "Komorebi.SpecialFunctions.Coupled.Scales.checked_invalid_scales",
1871       "Komorebi.SpecialFunctions.Coupled.Scales.checked_negative_radius",
1872       "Komorebi.SpecialFunctions.Coupled.Scales.checked_zero_before_resources",
1873       "Komorebi.SpecialFunctions.Coupled.Scales.checked_invalid_steps",
1874       "Komorebi.SpecialFunctions.Coupled.Scales.checked_invalid_bits",
1875       "Komorebi.SpecialFunctions.Coupled.Scales.checked_valid_inputs",
1876       "Komorebi.SpecialFunctions.Coupled.Scales.checked_small_seed_unchecked",
1877       "Komorebi.SpecialFunctions.Coupled.Scales.checked_success_core",
1878       "Komorebi.SpecialFunctions.Coupled.Scales.checked_endpoint_enclosure"
1879     ],
1880     "count": 30,
1881     "axioms": [
1882       "Classical.choice",
1883       "Quot.sound",
1884       "propext"
1885     ]
1886   }
1887 }

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