PolynomialMotionAxiomAudit.lean

1 module
2 public import AffineObstructionCore
3 public import FiniteFiberCounts
4 public import PadicTowerLimit
5 public import PolynomialMinorSelection
6 public import PolynomialPadicContraction
7 public import PolynomialTaylor
8 public import PolynomialTaylorRing
9 public import PolynomialWeightedInverse
10 public import ResidueLiftDigits
11 public import IntegerFiniteCokernel
12 public import PolynomialMotionRational
13 public import PolynomialObstruction
14 public import PolynomialTaylorDisplacement
15 public import PolynomialWeightedNormalization
16 public import PolynomialDigitBridge
17 public import PolynomialMotionEstimate
18 public import PolynomialMotionNormalization
19 public import PolynomialWeightedLift
20 public import PolynomialLiftCounts
21 public import PolynomialRootMotion
22 public import PolynomialSurjectiveStep
23 public import PolynomialIntegerTower
24 public import PolynomialSmoothCounts
25 public import PolynomialTowerControls
26 public import PolynomialPadicLift
27 public import PolynomialCoefficientPerturbation
28 public import PolynomialPadicUnique
29 public import PolynomialParameterSystem
30 public import PolynomialCoordinateReorder
31 public import PolynomialInverseCongruence
32 public import PolynomialLocalSurjective
33 public import PolynomialRootStability
34 public import PolynomialLocalInverse
35 public import PolynomialParameterChart
36 public import PolynomialGeneralChart
37 public import PolynomialDeformationControls
38 public import PolynomialParameterControls
39 public import PolynomialWeightedControls
40 public import PolynomialMotionControls
41 public import PolynomialCoefficientPerturbationContract
42 public import PolynomialGeneralChartContract
43 public import PolynomialHomeomorphContract
44 public import PolynomialLocalMapContract
45 public import PolynomialPadicUniqueContract
46 public import PolynomialRootMotionContract
47 public import PolynomialRootStabilityContract
48 public import PolynomialWeightedAuxiliaryContract
49 public import PolynomialWeightedLiftContract
50 @[expose] public section
51 #print axioms Komorebi.FiniteFiberCounts.Fiber
52 #print axioms Komorebi.FiniteFiberCounts.cokernel_card
53 #print axioms Komorebi.FiniteFiberCounts.cokernel_finrank
54 #print axioms Komorebi.FiniteFiberCounts.difference
55 #print axioms Komorebi.FiniteFiberCounts.difference_translate
56 #print axioms Komorebi.FiniteFiberCounts.fiberAddTorsor
57 #print axioms Komorebi.FiniteFiberCounts.fiberEquivKernel
58 #print axioms Komorebi.FiniteFiberCounts.fiber_card
59 #print axioms Komorebi.FiniteFiberCounts.fiber_card_eq_kernel
60 #print axioms Komorebi.FiniteFiberCounts.fiber_card_of_empty
61 #print axioms Komorebi.FiniteFiberCounts.fiber_card_of_nonempty
62 #print axioms Komorebi.FiniteFiberCounts.fiber_nonempty_iff_class_zero
63 #print axioms Komorebi.FiniteFiberCounts.kernel_card
64 #print axioms Komorebi.FiniteFiberCounts.kernel_finrank
65 #print axioms Komorebi.FiniteFiberCounts.rank
66 #print axioms Komorebi.FiniteFiberCounts.translate
67 #print axioms Komorebi.FiniteFiberCounts.translate_add
68 #print axioms Komorebi.FiniteFiberCounts.translate_difference
69 #print axioms Komorebi.FiniteFiberCounts.translate_exists_unique
70 #print axioms Komorebi.FiniteFiberCounts.translate_zero
71 #print axioms Komorebi.IntegerFiniteCokernel.cokernelEquiv
72 #print axioms Komorebi.IntegerFiniteCokernel.cokernelEquiv_mk
73 #print axioms Komorebi.IntegerFiniteCokernel.cokernelEquiv_obstruction
74 #print axioms Komorebi.IntegerFiniteCokernel.cokernel_card_eq
75 #print axioms Komorebi.IntegerFiniteCokernel.digit_range_eq_restrict
76 #print axioms Komorebi.IntegerFiniteCokernel.reduction_surjective
77 #print axioms Komorebi.NativeAffine.Obstruction
78 #print axioms Komorebi.NativeAffine.affine_lift_iff_obstruction_zero
79 #print axioms Komorebi.NativeAffine.affine_residual_transport
80 #print axioms Komorebi.NativeAffine.digitMap
81 #print axioms Komorebi.NativeAffine.finite_affine_obstruction
82 #print axioms Komorebi.NativeAffine.obstruction
83 #print axioms Komorebi.NativeAffine.obstruction_finite
84 #print axioms Komorebi.NativeAffine.obstruction_representative_independent
85 #print axioms Komorebi.NativeAffine.obstruction_zero_iff_correction
86 #print axioms Komorebi.NativeAffine.reduction
87 #print axioms Komorebi.NativeAffine.reduction_zero_iff
88 #print axioms Komorebi.NativeAffine.residual_exists
89 #print axioms Komorebi.NativeAffine.same_residue_iff
90 #print axioms Komorebi.PadicTowerLimit.compatible_int_tower_cauchy
91 #print axioms Komorebi.PadicTowerLimit.compatible_int_tower_limit
92 #print axioms Komorebi.PadicTowerLimit.compatible_int_tower_unique_limit
93 #print axioms Komorebi.PadicTowerLimit.compatible_vector_tower_limit
94 #print axioms Komorebi.PadicTowerLimit.divisible_int_tendsto_zero
95 #print axioms Komorebi.PadicTowerLimit.tower_pair_dvd
96 #print axioms Komorebi.PolynomialCoefficientPerturbation.digitJacobian_perturb_eq
97 #print axioms Komorebi.PolynomialCoefficientPerturbation.digitJacobian_perturb_point_eq
98 #print axioms Komorebi.PolynomialCoefficientPerturbation.evalSystem_perturb
99 #print axioms Komorebi.PolynomialCoefficientPerturbation.exists_padic_root_perturb
100 #print axioms Komorebi.PolynomialCoefficientPerturbation.exists_padic_root_power_perturb
101 #print axioms Komorebi.PolynomialCoefficientPerturbation.lower_root_perturb
102 #print axioms Komorebi.PolynomialCoefficientPerturbation.padicEval_perturb
103 #print axioms Komorebi.PolynomialCoefficientPerturbation.pderiv_perturb
104 #print axioms Komorebi.PolynomialCoefficientPerturbation.perturb
105 #print axioms Komorebi.PolynomialCoefficientPerturbationContract.explicit_perturbed_jacobian
106 #print axioms Komorebi.PolynomialCoefficientPerturbationContract.explicit_power_perturbation_root
107 #print axioms Komorebi.PolynomialCoordinateReorder.continuous_reorderPoint
108 #print axioms Komorebi.PolynomialCoordinateReorder.digitJacobian_single
109 #print axioms Komorebi.PolynomialCoordinateReorder.evalSystem_reorder
110 #print axioms Komorebi.PolynomialCoordinateReorder.evalSystem_reorder_at
111 #print axioms Komorebi.PolynomialCoordinateReorder.exists_reorder_solvedJacobian_surjective
112 #print axioms Komorebi.PolynomialCoordinateReorder.padicEval_reorder
113 #print axioms Komorebi.PolynomialCoordinateReorder.padicEval_reorder_at
114 #print axioms Komorebi.PolynomialCoordinateReorder.pderiv_eval_reorder
115 #print axioms Komorebi.PolynomialCoordinateReorder.pderiv_reorder
116 #print axioms Komorebi.PolynomialCoordinateReorder.reorderPoint
117 #print axioms Komorebi.PolynomialCoordinateReorder.reorderPoint_inverse
118 #print axioms Komorebi.PolynomialCoordinateReorder.reorderPoint_inverse'
119 #print axioms Komorebi.PolynomialCoordinateReorder.reorderSystem
120 #print axioms Komorebi.PolynomialCoordinateReorder.solvedJacobian_reorder_apply
121 #print axioms Komorebi.PolynomialDeformationControls.linear_shift_coefficient_perturbation
122 #print axioms Komorebi.PolynomialDeformationControls.linear_shift_no_extra_padic_precision
123 #print axioms Komorebi.PolynomialDeformationControls.squareMinusOne
124 #print axioms Komorebi.PolynomialDeformationControls.square_minus_one_jacobian_bijective
125 #print axioms Komorebi.PolynomialDeformationControls.square_minus_one_not_global_unique
126 #print axioms Komorebi.PolynomialDeformationControls.square_minus_one_two_padic_roots
127 #print axioms Komorebi.PolynomialDigitBridge.DigitSolutions
128 #print axioms Komorebi.PolynomialDigitBridge.digitJacobian
129 #print axioms Komorebi.PolynomialDigitBridge.digit_solution_iff
130 #print axioms Komorebi.PolynomialDigitBridge.digit_solutions_nonempty_iff
131 #print axioms Komorebi.PolynomialDigitBridge.integerLift
132 #print axioms Komorebi.PolynomialDigitBridge.reduction_integerLift
133 #print axioms Komorebi.PolynomialDigitBridge.reduction_jacobian
134 #print axioms Komorebi.PolynomialGeneralChart.exists_parameter_homeomorph
135 #print axioms Komorebi.PolynomialGeneralChart.reorderRootHomeomorph
136 #print axioms Komorebi.PolynomialGeneralChartContract.full_rectangular_chart
137 #print axioms Komorebi.PolynomialHomeomorphContract.square_homeomorphism
138 #print axioms Komorebi.PolynomialIntegerTower.exists_compatible_tower
139 #print axioms Komorebi.PolynomialIntegerTower.exists_compatible_tower_strong
140 #print axioms Komorebi.PolynomialIntegerTower.tower_digitJacobian_eq
141 #print axioms Komorebi.PolynomialIntegerTower.tower_initial_congruent
142 #print axioms Komorebi.PolynomialIntegerTower.tower_pairwise_congruent
143 #print axioms Komorebi.PolynomialInverseCongruence.integer_inverse_congruence
144 #print axioms Komorebi.PolynomialInverseCongruence.integer_inverse_congruence_step
145 #print axioms Komorebi.PolynomialInverseCongruence.padicEval_congruent
146 #print axioms Komorebi.PolynomialInverseCongruence.padic_congruence_iff
147 #print axioms Komorebi.PolynomialInverseCongruence.padic_inverse_congruence
148 #print axioms Komorebi.PolynomialInverseCongruence.padic_map_injective
149 #print axioms Komorebi.PolynomialLiftCounts.ActualLifts
150 #print axioms Komorebi.PolynomialLiftCounts.digitAddTorsor
151 #print axioms Komorebi.PolynomialLiftCounts.digitEquivLifts
152 #print axioms Komorebi.PolynomialLiftCounts.digit_residue_solution_iff
153 #print axioms Komorebi.PolynomialLiftCounts.finite_polynomial_lift_count
154 #print axioms Komorebi.PolynomialLiftCounts.liftEquivKernel
155 #print axioms Komorebi.PolynomialLiftCounts.lift_card
156 #print axioms Komorebi.PolynomialLiftCounts.obstructionEquiv
157 #print axioms Komorebi.PolynomialLiftCounts.obstructionEquiv_class
158 #print axioms Komorebi.PolynomialLiftCounts.obstruction_card
159 #print axioms Komorebi.PolynomialLocalInverse.ballMap
160 #print axioms Komorebi.PolynomialLocalInverse.ballMap_bijective
161 #print axioms Komorebi.PolynomialLocalInverse.continuous_ballMap
162 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph
163 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph_apply
164 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph_symm_congruent
165 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph_symm_eval
166 #print axioms Komorebi.PolynomialLocalMapContract.all_depths_reflected
167 #print axioms Komorebi.PolynomialLocalMapContract.arbitrary_padic_target
168 #print axioms Komorebi.PolynomialLocalSurjective.digitJacobian_sub_C
169 #print axioms Komorebi.PolynomialLocalSurjective.exists_integer_target_preimage
170 #print axioms Komorebi.PolynomialLocalSurjective.exists_padic_preimage
171 #print axioms Komorebi.PolynomialLocalSurjective.isClosed_residueBall
172 #print axioms Komorebi.PolynomialLocalSurjective.isCompact_residueBall
173 #print axioms Komorebi.PolynomialLocalSurjective.residueBall
174 #print axioms Komorebi.PolynomialLocalSurjective.truncInt_tendsto
175 #print axioms Komorebi.PolynomialMinorSelection.exists_permuted_columns
176 #print axioms Komorebi.PolynomialMinorSelection.exists_prime_permuted_columns
177 #print axioms Komorebi.PolynomialMinorSelection.exists_selected_columns
178 #print axioms Komorebi.PolynomialMotionControls.exists_sharp_motion_root
179 #print axioms Komorebi.PolynomialMotionControls.no_uniform_extra_error_digit
180 #print axioms Komorebi.PolynomialMotionControls.sharpQuadratic
181 #print axioms Komorebi.PolynomialMotionControls.sharpQuadratic_base
182 #print axioms Komorebi.PolynomialMotionControls.sharp_error_of_even_root
183 #print axioms Komorebi.PolynomialMotionControls.sharp_mod_eight
184 #print axioms Komorebi.PolynomialMotionEstimate.first_order_error_dvd
185 #print axioms Komorebi.PolynomialMotionNormalization.eval_perturbSystem
186 #print axioms Komorebi.PolynomialMotionNormalization.exists_eval_scaled_difference
187 #print axioms Komorebi.PolynomialMotionNormalization.exists_motion_normalization
188 #print axioms Komorebi.PolynomialMotionNormalization.perturbSystem
189 #print axioms Komorebi.PolynomialMotionNormalization.precondition_perturbSystem
190 #print axioms Komorebi.PolynomialMotionRational.coe_mulVec
191 #print axioms Komorebi.PolynomialMotionRational.exists_rational_error
192 #print axioms Komorebi.PolynomialMotionRational.scaled_inverse_mulVec
193 #print axioms Komorebi.PolynomialObstruction.dvd_iff_of_dvd_sub
194 #print axioms Komorebi.PolynomialObstruction.evalSystem
195 #print axioms Komorebi.PolynomialObstruction.evalSystem_apply
196 #print axioms Komorebi.PolynomialObstruction.finite_polynomial_obstruction
197 #print axioms Komorebi.PolynomialObstruction.jacobian
198 #print axioms Komorebi.PolynomialObstruction.jacobian_apply
199 #print axioms Komorebi.PolynomialObstruction.next_level_iff_digit
200 #print axioms Komorebi.PolynomialObstruction.polynomial_lift_iff_obstruction_zero
201 #print axioms Komorebi.PolynomialObstruction.polynomial_same_residue_lift_iff
202 #print axioms Komorebi.PolynomialObstruction.residual_exists
203 #print axioms Komorebi.PolynomialObstruction.residual_unique
204 #print axioms Komorebi.PolynomialObstruction.taylor_residual_dvd
205 #print axioms Komorebi.PolynomialPadicContraction.contracting_contractionMap
206 #print axioms Komorebi.PolynomialPadicContraction.contractionMap
207 #print axioms Komorebi.PolynomialPadicContraction.evalSystem
208 #print axioms Komorebi.PolynomialPadicContraction.eval_dist_le
209 #print axioms Komorebi.PolynomialPadicContraction.eval_dvd_of_dvd
210 #print axioms Komorebi.PolynomialPadicContraction.exists_unique_fixedPoint
211 #print axioms Komorebi.PolynomialPadicContraction.exists_unique_fixedPoint_divisible
212 #print axioms Komorebi.PolynomialPadicContraction.fixedPoint_divisible
213 #print axioms Komorebi.PolynomialPadicContraction.lipschitz_evalSystem
214 #print axioms Komorebi.PolynomialPadicLift.continuous_padicEval
215 #print axioms Komorebi.PolynomialPadicLift.exists_padic_root
216 #print axioms Komorebi.PolynomialPadicLift.exists_padic_root_with_tower
217 #print axioms Komorebi.PolynomialPadicLift.padicEval
218 #print axioms Komorebi.PolynomialPadicLift.padicEval_intCast
219 #print axioms Komorebi.PolynomialPadicLift.polynomial_tower_limit_root
220 #print axioms Komorebi.PolynomialPadicUnique.exists_unique_padic_root
221 #print axioms Komorebi.PolynomialPadicUnique.int_pow_dvd_iff
222 #print axioms Komorebi.PolynomialPadicUnique.padic_root_unique
223 #print axioms Komorebi.PolynomialPadicUnique.rootResidueLift
224 #print axioms Komorebi.PolynomialPadicUnique.root_next_residue_eq
225 #print axioms Komorebi.PolynomialPadicUnique.toZModPow_eq_iff_dvd_sub
226 #print axioms Komorebi.PolynomialPadicUnique.truncInt
227 #print axioms Komorebi.PolynomialPadicUnique.truncInt_eval_residue
228 #print axioms Komorebi.PolynomialPadicUnique.truncInt_precision
229 #print axioms Komorebi.PolynomialPadicUnique.truncInt_root
230 #print axioms Komorebi.PolynomialPadicUniqueContract.explicit_arbitrary_root_uniqueness
231 #print axioms Komorebi.PolynomialPadicUniqueContract.explicit_unique_padic_root
232 #print axioms Komorebi.PolynomialParameterChart.chartGraph_iff
233 #print axioms Komorebi.PolynomialParameterChart.chartPhi
234 #print axioms Komorebi.PolynomialParameterChart.chartPoint
235 #print axioms Komorebi.PolynomialParameterChart.chartPoint_congruent
236 #print axioms Komorebi.PolynomialParameterChart.chartPoint_congruent_iff
237 #print axioms Komorebi.PolynomialParameterChart.chartPoint_free
238 #print axioms Komorebi.PolynomialParameterChart.chartPoint_graph
239 #print axioms Komorebi.PolynomialParameterChart.chartPoint_root
240 #print axioms Komorebi.PolynomialParameterChart.chartPoint_spec
241 #print axioms Komorebi.PolynomialParameterChart.chartPoint_unique
242 #print axioms Komorebi.PolynomialParameterChart.chartTarget
243 #print axioms Komorebi.PolynomialParameterChart.continuous_chartPhi
244 #print axioms Komorebi.PolynomialParameterChart.continuous_chartPoint
245 #print axioms Komorebi.PolynomialParameterChart.continuous_chartTarget
246 #print axioms Komorebi.PolynomialParameterChart.parameterHomeomorph
247 #print axioms Komorebi.PolynomialParameterControls.full_jacobian_surjective
248 #print axioms Komorebi.PolynomialParameterControls.no_root_at_parameter_two
249 #print axioms Komorebi.PolynomialParameterControls.parameter_two_near_origin
250 #print axioms Komorebi.PolynomialParameterControls.solved_jacobian_not_surjective
251 #print axioms Komorebi.PolynomialParameterControls.solved_jacobian_zero
252 #print axioms Komorebi.PolynomialParameterControls.squareMinusParameter
253 #print axioms Komorebi.PolynomialParameterSystem.augmented
254 #print axioms Komorebi.PolynomialParameterSystem.augmented_free
255 #print axioms Komorebi.PolynomialParameterSystem.augmented_jacobian_surjective
256 #print axioms Komorebi.PolynomialParameterSystem.augmented_solved
257 #print axioms Komorebi.PolynomialParameterSystem.continuous_freePart
258 #print axioms Komorebi.PolynomialParameterSystem.continuous_join
259 #print axioms Komorebi.PolynomialParameterSystem.continuous_solvedPart
260 #print axioms Komorebi.PolynomialParameterSystem.digitJacobian_augmented
261 #print axioms Komorebi.PolynomialParameterSystem.digitJacobian_join_zero
262 #print axioms Komorebi.PolynomialParameterSystem.evalSystem_augmented
263 #print axioms Komorebi.PolynomialParameterSystem.freePart
264 #print axioms Komorebi.PolynomialParameterSystem.freePart_join
265 #print axioms Komorebi.PolynomialParameterSystem.join
266 #print axioms Komorebi.PolynomialParameterSystem.join_free
267 #print axioms Komorebi.PolynomialParameterSystem.join_parts
268 #print axioms Komorebi.PolynomialParameterSystem.join_solved
269 #print axioms Komorebi.PolynomialParameterSystem.padicEval_augmented
270 #print axioms Komorebi.PolynomialParameterSystem.padicEval_augmented_iff
271 #print axioms Komorebi.PolynomialParameterSystem.solvedJacobian
272 #print axioms Komorebi.PolynomialParameterSystem.solvedPart
273 #print axioms Komorebi.PolynomialParameterSystem.solvedPart_join
274 #print axioms Komorebi.PolynomialRootMotion.exists_perturbed_root_certificate
275 #print axioms Komorebi.PolynomialRootMotion.exists_root_from_original_preconditioner
276 #print axioms Komorebi.PolynomialRootMotion.exists_root_motion
277 #print axioms Komorebi.PolynomialRootMotion.exists_unique_root_motion
278 #print axioms Komorebi.PolynomialRootMotionContract.original_jacobian_integral_error
279 #print axioms Komorebi.PolynomialRootMotionContract.original_jacobian_rational_motion
280 #print axioms Komorebi.PolynomialRootStability.exists_nearby_perturbed_root
281 #print axioms Komorebi.PolynomialRootStability.exists_root_and_unique_perturbation
282 #print axioms Komorebi.PolynomialRootStability.exists_unique_nearby_perturbed_root
283 #print axioms Komorebi.PolynomialRootStability.integer_congruent_of_common_padic
284 #print axioms Komorebi.PolynomialRootStability.perturbed_roots_congruent
285 #print axioms Komorebi.PolynomialRootStabilityContract.explicit_lower_root_and_unique_perturbation
286 #print axioms Komorebi.PolynomialRootStabilityContract.explicit_rectangular_nearby_root
287 #print axioms Komorebi.PolynomialRootStabilityContract.explicit_square_root_displacement
288 #print axioms Komorebi.PolynomialSmoothCounts.exists_regular_tower
289 #print axioms Komorebi.PolynomialSmoothCounts.smooth_dimension
290 #print axioms Komorebi.PolynomialSmoothCounts.smooth_lift_card
291 #print axioms Komorebi.PolynomialSmoothCounts.smooth_obstruction_card
292 #print axioms Komorebi.PolynomialSmoothCounts.smooth_rank
293 #print axioms Komorebi.PolynomialSurjectiveStep.digitJacobian_eq
294 #print axioms Komorebi.PolynomialSurjectiveStep.digitJacobian_shift_eq
295 #print axioms Komorebi.PolynomialSurjectiveStep.one_step_lift
296 #print axioms Komorebi.PolynomialTaylor.directional
297 #print axioms Komorebi.PolynomialTaylor.directional_C
298 #print axioms Komorebi.PolynomialTaylor.directional_X
299 #print axioms Komorebi.PolynomialTaylor.directional_add
300 #print axioms Komorebi.PolynomialTaylor.directional_mul
301 #print axioms Komorebi.PolynomialTaylor.eval_dvd_of_dvd
302 #print axioms Komorebi.PolynomialTaylor.pderiv_eval_dvd_of_dvd
303 #print axioms Komorebi.PolynomialTaylor.taylor_dvd
304 #print axioms Komorebi.PolynomialTaylor.taylor_step_dvd
305 #print axioms Komorebi.PolynomialTaylorDisplacement.taylor_remainder_dvd
306 #print axioms Komorebi.PolynomialTaylorRing.eval_dvd_of_dvd
307 #print axioms Komorebi.PolynomialTaylorRing.eval_linearPart
308 #print axioms Komorebi.PolynomialTaylorRing.eval_scaled_bind
309 #print axioms Komorebi.PolynomialTaylorRing.eval_zero_linearPart
310 #print axioms Komorebi.PolynomialTaylorRing.exists_eval_scaled_remainder
311 #print axioms Komorebi.PolynomialTaylorRing.exists_scaled_remainder
312 #print axioms Komorebi.PolynomialTaylorRing.linearPart
313 #print axioms Komorebi.PolynomialTaylorRing.linearPart_C
314 #print axioms Komorebi.PolynomialTaylorRing.linearPart_X
315 #print axioms Komorebi.PolynomialTaylorRing.linearPart_add
316 #print axioms Komorebi.PolynomialTaylorRing.linearPart_mul
317 #print axioms Komorebi.PolynomialTowerControls.linearMinusTwo
318 #print axioms Komorebi.PolynomialTowerControls.linear_shift_no_extra_precision
319 #print axioms Komorebi.PolynomialTowerControls.linear_shift_nonsingular_lower_root
320 #print axioms Komorebi.PolynomialTowerControls.projectionSystem
321 #print axioms Komorebi.PolynomialTowerControls.projection_jacobian_surjective
322 #print axioms Komorebi.PolynomialTowerControls.projection_two_padic_roots
323 #print axioms Komorebi.PolynomialTowerControls.squareMinusFive
324 #print axioms Komorebi.PolynomialTowerControls.square_minus_five_lower_steps
325 #print axioms Komorebi.PolynomialTowerControls.square_minus_five_no_mod_eight
326 #print axioms Komorebi.PolynomialTowerControls.square_minus_five_no_tower
327 #print axioms Komorebi.PolynomialWeightedAuxiliaryContract.actual_polynomial_contraction
328 #print axioms Komorebi.PolynomialWeightedAuxiliaryContract.exact_inverse_denominator_certificate
329 #print axioms Komorebi.PolynomialWeightedAuxiliaryContract.uniform_polynomial_taylor
330 #print axioms Komorebi.PolynomialWeightedControls.boundary_exact_residual_depth
331 #print axioms Komorebi.PolynomialWeightedControls.boundary_no_mod_eight
332 #print axioms Komorebi.PolynomialWeightedControls.boundary_no_padic_root
333 #print axioms Komorebi.PolynomialWeightedControls.boundary_no_root
334 #print axioms Komorebi.PolynomialWeightedControls.boundary_residual_derivative
335 #print axioms Komorebi.PolynomialWeightedControls.boundary_scaled_inverse
336 #print axioms Komorebi.PolynomialWeightedControls.linear_displacement_sharp
337 #print axioms Komorebi.PolynomialWeightedControls.linear_perturbation_root
338 #print axioms Komorebi.PolynomialWeightedControls.prime_power_exact_depth
339 #print axioms Komorebi.PolynomialWeightedControls.squarePlusThree
340 #print axioms Komorebi.PolynomialWeightedControls.weightedLinear
341 #print axioms Komorebi.PolynomialWeightedInverse.bounded_inverse_iff_certificate
342 #print axioms Komorebi.PolynomialWeightedInverse.certificate_of_integral_inverse
343 #print axioms Komorebi.PolynomialWeightedInverse.eval_precondition
344 #print axioms Komorebi.PolynomialWeightedInverse.integral_inverse_iff_certificate
345 #print axioms Komorebi.PolynomialWeightedInverse.integral_inverse_of_certificate
346 #print axioms Komorebi.PolynomialWeightedInverse.jacobian
347 #print axioms Komorebi.PolynomialWeightedInverse.jacobian_precondition
348 #print axioms Komorebi.PolynomialWeightedInverse.mulVec_injective_of_scalar_certificate
349 #print axioms Komorebi.PolynomialWeightedInverse.mulVec_preserves_dvd
350 #print axioms Komorebi.PolynomialWeightedInverse.padic_mulVec_injective
351 #print axioms Komorebi.PolynomialWeightedInverse.precondition
352 #print axioms Komorebi.PolynomialWeightedInverse.precondition_root_iff
353 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix
354 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_injective
355 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_isUnit_of_certificate
356 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_mul
357 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_scalar
358 #print axioms Komorebi.PolynomialWeightedLift.exists_root_of_normalization
359 #print axioms Komorebi.PolynomialWeightedLift.exists_unique_weighted_root
360 #print axioms Komorebi.PolynomialWeightedLift.exists_weighted_root
361 #print axioms Komorebi.PolynomialWeightedLift.exists_weighted_root_certificate
362 #print axioms Komorebi.PolynomialWeightedLift.shiftedPoint
363 #print axioms Komorebi.PolynomialWeightedLiftContract.actual_jacobian_bounded_inverse
364 #print axioms Komorebi.PolynomialWeightedLiftContract.actual_jacobian_integral_certificate
365 #print axioms Komorebi.PolynomialWeightedNormalization.exists_normalization
366 #print axioms Komorebi.PolynomialWeightedNormalization.precondition_directional
367 #print axioms Komorebi.ResidueLiftDigits.ResidueFiber
368 #print axioms Komorebi.ResidueLiftDigits.digitEquivResidue
369 #print axioms Komorebi.ResidueLiftDigits.digitEquivResidue_apply
370 #print axioms Komorebi.ResidueLiftDigits.digitResidue
371 #print axioms Komorebi.ResidueLiftDigits.digitResidue_injective
372 #print axioms Komorebi.ResidueLiftDigits.digitResidue_mem
373 #print axioms Komorebi.ResidueLiftDigits.digitResidue_surjective
374 #print axioms Komorebi.ResidueLiftDigits.next_modulus_dvd_val_sub_shift
375 #print axioms Komorebi.ResidueLiftDigits.residueFiber_card
376 #print axioms Komorebi.ResidueLiftDigits.shift_cast_eq_iff

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