PolynomialJointMotionAxiomAudit.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 PolynomialBlockInverse
31 public import PolynomialCoordinateReorder
32 public import PolynomialInverseCongruence
33 public import PolynomialLocalSurjective
34 public import PolynomialParameterPath
35 public import PolynomialPrescribedSystem
36 public import PolynomialRootStability
37 public import PolynomialJointSystem
38 public import PolynomialLocalInverse
39 public import PolynomialPrescribedLifts
40 public import PolynomialPrescribedTowerLimit
41 public import PolynomialJointMotion
42 public import PolynomialParameterChart
43 public import PolynomialPrescribedCounts
44 public import PolynomialGeneralChart
45 public import PolynomialJointDeformation
46 public import PolynomialPrescribedObstruction
47 public import PolynomialPrescribedStep
48 public import PolynomialPrescribedTowerUnique
49 public import PolynomialPrescribedIntegerTower
50 public import PolynomialPrescribedPadicTower
51 public import PolynomialDeformationControls
52 public import PolynomialParameterControls
53 public import PolynomialParameterTowerControls
54 public import PolynomialPrescribedControls
55 public import PolynomialWeightedControls
56 public import PolynomialMotionControls
57 public import PolynomialJointMotionControls
58 public import PolynomialCoefficientPerturbationContract
59 public import PolynomialGeneralChartContract
60 public import PolynomialHomeomorphContract
61 public import PolynomialJointMotionContracts
62 public import PolynomialLocalMapContract
63 public import PolynomialPadicUniqueContract
64 public import PolynomialPrescribedContract
65 public import PolynomialRootMotionContract
66 public import PolynomialRootStabilityContract
67 public import PolynomialWeightedAuxiliaryContract
68 public import PolynomialWeightedLiftContract
69 public import PolynomialParameterTowerContracts
70 @[expose] public section
71 #print axioms Komorebi.FiniteFiberCounts.Fiber
72 #print axioms Komorebi.FiniteFiberCounts.cokernel_card
73 #print axioms Komorebi.FiniteFiberCounts.cokernel_finrank
74 #print axioms Komorebi.FiniteFiberCounts.difference
75 #print axioms Komorebi.FiniteFiberCounts.difference_translate
76 #print axioms Komorebi.FiniteFiberCounts.fiberAddTorsor
77 #print axioms Komorebi.FiniteFiberCounts.fiberEquivKernel
78 #print axioms Komorebi.FiniteFiberCounts.fiber_card
79 #print axioms Komorebi.FiniteFiberCounts.fiber_card_eq_kernel
80 #print axioms Komorebi.FiniteFiberCounts.fiber_card_of_empty
81 #print axioms Komorebi.FiniteFiberCounts.fiber_card_of_nonempty
82 #print axioms Komorebi.FiniteFiberCounts.fiber_nonempty_iff_class_zero
83 #print axioms Komorebi.FiniteFiberCounts.kernel_card
84 #print axioms Komorebi.FiniteFiberCounts.kernel_finrank
85 #print axioms Komorebi.FiniteFiberCounts.rank
86 #print axioms Komorebi.FiniteFiberCounts.translate
87 #print axioms Komorebi.FiniteFiberCounts.translate_add
88 #print axioms Komorebi.FiniteFiberCounts.translate_difference
89 #print axioms Komorebi.FiniteFiberCounts.translate_exists_unique
90 #print axioms Komorebi.FiniteFiberCounts.translate_zero
91 #print axioms Komorebi.IntegerFiniteCokernel.cokernelEquiv
92 #print axioms Komorebi.IntegerFiniteCokernel.cokernelEquiv_mk
93 #print axioms Komorebi.IntegerFiniteCokernel.cokernelEquiv_obstruction
94 #print axioms Komorebi.IntegerFiniteCokernel.cokernel_card_eq
95 #print axioms Komorebi.IntegerFiniteCokernel.digit_range_eq_restrict
96 #print axioms Komorebi.IntegerFiniteCokernel.reduction_surjective
97 #print axioms Komorebi.NativeAffine.Obstruction
98 #print axioms Komorebi.NativeAffine.affine_lift_iff_obstruction_zero
99 #print axioms Komorebi.NativeAffine.affine_residual_transport
100 #print axioms Komorebi.NativeAffine.digitMap
101 #print axioms Komorebi.NativeAffine.finite_affine_obstruction
102 #print axioms Komorebi.NativeAffine.obstruction
103 #print axioms Komorebi.NativeAffine.obstruction_finite
104 #print axioms Komorebi.NativeAffine.obstruction_representative_independent
105 #print axioms Komorebi.NativeAffine.obstruction_zero_iff_correction
106 #print axioms Komorebi.NativeAffine.reduction
107 #print axioms Komorebi.NativeAffine.reduction_zero_iff
108 #print axioms Komorebi.NativeAffine.residual_exists
109 #print axioms Komorebi.NativeAffine.same_residue_iff
110 #print axioms Komorebi.PadicTowerLimit.compatible_int_tower_cauchy
111 #print axioms Komorebi.PadicTowerLimit.compatible_int_tower_limit
112 #print axioms Komorebi.PadicTowerLimit.compatible_int_tower_unique_limit
113 #print axioms Komorebi.PadicTowerLimit.compatible_vector_tower_limit
114 #print axioms Komorebi.PadicTowerLimit.divisible_int_tendsto_zero
115 #print axioms Komorebi.PadicTowerLimit.tower_pair_dvd
116 #print axioms Komorebi.PolynomialBlockInverse.blockCertificate
117 #print axioms Komorebi.PolynomialBlockInverse.blockCertificate_mul
118 #print axioms Komorebi.PolynomialBlockInverse.blockCertificate_mulVec_join_neg
119 #print axioms Komorebi.PolynomialBlockInverse.blockCertificate_two_sided
120 #print axioms Komorebi.PolynomialBlockInverse.bounded_inverse_upperBlock
121 #print axioms Komorebi.PolynomialBlockInverse.mul_blockCertificate
122 #print axioms Komorebi.PolynomialBlockInverse.upperBlock
123 #print axioms Komorebi.PolynomialBlockInverse.upperBlock_free_free
124 #print axioms Komorebi.PolynomialBlockInverse.upperBlock_free_solved
125 #print axioms Komorebi.PolynomialBlockInverse.upperBlock_mulVec_join
126 #print axioms Komorebi.PolynomialBlockInverse.upperBlock_solved_free
127 #print axioms Komorebi.PolynomialBlockInverse.upperBlock_solved_solved
128 #print axioms Komorebi.PolynomialCoefficientPerturbation.digitJacobian_perturb_eq
129 #print axioms Komorebi.PolynomialCoefficientPerturbation.digitJacobian_perturb_point_eq
130 #print axioms Komorebi.PolynomialCoefficientPerturbation.evalSystem_perturb
131 #print axioms Komorebi.PolynomialCoefficientPerturbation.exists_padic_root_perturb
132 #print axioms Komorebi.PolynomialCoefficientPerturbation.exists_padic_root_power_perturb
133 #print axioms Komorebi.PolynomialCoefficientPerturbation.lower_root_perturb
134 #print axioms Komorebi.PolynomialCoefficientPerturbation.padicEval_perturb
135 #print axioms Komorebi.PolynomialCoefficientPerturbation.pderiv_perturb
136 #print axioms Komorebi.PolynomialCoefficientPerturbation.perturb
137 #print axioms Komorebi.PolynomialCoefficientPerturbationContract.explicit_perturbed_jacobian
138 #print axioms Komorebi.PolynomialCoefficientPerturbationContract.explicit_power_perturbation_root
139 #print axioms Komorebi.PolynomialCoordinateReorder.continuous_reorderPoint
140 #print axioms Komorebi.PolynomialCoordinateReorder.digitJacobian_single
141 #print axioms Komorebi.PolynomialCoordinateReorder.evalSystem_reorder
142 #print axioms Komorebi.PolynomialCoordinateReorder.evalSystem_reorder_at
143 #print axioms Komorebi.PolynomialCoordinateReorder.exists_reorder_solvedJacobian_surjective
144 #print axioms Komorebi.PolynomialCoordinateReorder.padicEval_reorder
145 #print axioms Komorebi.PolynomialCoordinateReorder.padicEval_reorder_at
146 #print axioms Komorebi.PolynomialCoordinateReorder.pderiv_eval_reorder
147 #print axioms Komorebi.PolynomialCoordinateReorder.pderiv_reorder
148 #print axioms Komorebi.PolynomialCoordinateReorder.reorderPoint
149 #print axioms Komorebi.PolynomialCoordinateReorder.reorderPoint_inverse
150 #print axioms Komorebi.PolynomialCoordinateReorder.reorderPoint_inverse'
151 #print axioms Komorebi.PolynomialCoordinateReorder.reorderSystem
152 #print axioms Komorebi.PolynomialCoordinateReorder.solvedJacobian_reorder_apply
153 #print axioms Komorebi.PolynomialDeformationControls.linear_shift_coefficient_perturbation
154 #print axioms Komorebi.PolynomialDeformationControls.linear_shift_no_extra_padic_precision
155 #print axioms Komorebi.PolynomialDeformationControls.squareMinusOne
156 #print axioms Komorebi.PolynomialDeformationControls.square_minus_one_jacobian_bijective
157 #print axioms Komorebi.PolynomialDeformationControls.square_minus_one_not_global_unique
158 #print axioms Komorebi.PolynomialDeformationControls.square_minus_one_two_padic_roots
159 #print axioms Komorebi.PolynomialDigitBridge.DigitSolutions
160 #print axioms Komorebi.PolynomialDigitBridge.digitJacobian
161 #print axioms Komorebi.PolynomialDigitBridge.digit_solution_iff
162 #print axioms Komorebi.PolynomialDigitBridge.digit_solutions_nonempty_iff
163 #print axioms Komorebi.PolynomialDigitBridge.integerLift
164 #print axioms Komorebi.PolynomialDigitBridge.reduction_integerLift
165 #print axioms Komorebi.PolynomialDigitBridge.reduction_jacobian
166 #print axioms Komorebi.PolynomialGeneralChart.exists_parameter_homeomorph
167 #print axioms Komorebi.PolynomialGeneralChart.reorderRootHomeomorph
168 #print axioms Komorebi.PolynomialGeneralChartContract.full_rectangular_chart
169 #print axioms Komorebi.PolynomialHomeomorphContract.square_homeomorphism
170 #print axioms Komorebi.PolynomialIntegerTower.exists_compatible_tower
171 #print axioms Komorebi.PolynomialIntegerTower.exists_compatible_tower_strong
172 #print axioms Komorebi.PolynomialIntegerTower.tower_digitJacobian_eq
173 #print axioms Komorebi.PolynomialIntegerTower.tower_initial_congruent
174 #print axioms Komorebi.PolynomialIntegerTower.tower_pairwise_congruent
175 #print axioms Komorebi.PolynomialInverseCongruence.integer_inverse_congruence
176 #print axioms Komorebi.PolynomialInverseCongruence.integer_inverse_congruence_step
177 #print axioms Komorebi.PolynomialInverseCongruence.padicEval_congruent
178 #print axioms Komorebi.PolynomialInverseCongruence.padic_congruence_iff
179 #print axioms Komorebi.PolynomialInverseCongruence.padic_inverse_congruence
180 #print axioms Komorebi.PolynomialInverseCongruence.padic_map_injective
181 #print axioms Komorebi.PolynomialJointDeformation.exists_joint_deformation
182 #print axioms Komorebi.PolynomialJointDeformation.exists_unique_joint_deformation
183 #print axioms Komorebi.PolynomialJointDeformation.join_deformed_ball
184 #print axioms Komorebi.PolynomialJointMotion.exists_joint_root_certificate
185 #print axioms Komorebi.PolynomialJointMotion.exists_joint_root_motion
186 #print axioms Komorebi.PolynomialJointMotionContracts.actual_joint_certificate
187 #print axioms Komorebi.PolynomialJointMotionContracts.actual_joint_rational_motion
188 #print axioms Komorebi.PolynomialJointMotionControls.exists_sharp_parameter_only_root
189 #print axioms Komorebi.PolynomialJointMotionControls.join_one_one
190 #print axioms Komorebi.PolynomialJointMotionControls.join_one_zero
191 #print axioms Komorebi.PolynomialJointMotionControls.linearPerturbation
192 #print axioms Komorebi.PolynomialJointMotionControls.linearSystem
193 #print axioms Komorebi.PolynomialJointMotionControls.linear_actual_jacobians
194 #print axioms Komorebi.PolynomialJointMotionControls.linear_augmented_root_depth_two
195 #print axioms Komorebi.PolynomialJointMotionControls.linear_base_data
196 #print axioms Komorebi.PolynomialJointMotionControls.linear_joint_forcing_and_error
197 #print axioms Komorebi.PolynomialJointMotionControls.linear_joint_root
198 #print axioms Komorebi.PolynomialJointMotionControls.linear_joint_unique
199 #print axioms Komorebi.PolynomialJointMotionControls.no_uniform_extra_parameter_error_digit
200 #print axioms Komorebi.PolynomialJointMotionControls.omitted_parameter_term_fails
201 #print axioms Komorebi.PolynomialJointMotionControls.quadraticParameterSystem
202 #print axioms Komorebi.PolynomialJointMotionControls.quadratic_parameter_base_data
203 #print axioms Komorebi.PolynomialJointMotionControls.reversed_parameter_sign_fails
204 #print axioms Komorebi.PolynomialJointSystem.augmented
205 #print axioms Komorebi.PolynomialJointSystem.augmentedPerturbation
206 #print axioms Komorebi.PolynomialJointSystem.augmentedPerturbation_free
207 #print axioms Komorebi.PolynomialJointSystem.augmentedPerturbation_solved
208 #print axioms Komorebi.PolynomialJointSystem.augmented_free
209 #print axioms Komorebi.PolynomialJointSystem.augmented_root
210 #print axioms Komorebi.PolynomialJointSystem.augmented_solved
211 #print axioms Komorebi.PolynomialJointSystem.eval_augmented
212 #print axioms Komorebi.PolynomialJointSystem.eval_augmentedPerturbation
213 #print axioms Komorebi.PolynomialJointSystem.jacobian_augmented
214 #print axioms Komorebi.PolynomialJointSystem.jacobian_augmented_free_free
215 #print axioms Komorebi.PolynomialJointSystem.jacobian_augmented_free_solved
216 #print axioms Komorebi.PolynomialJointSystem.jacobian_augmented_solved_free
217 #print axioms Komorebi.PolynomialJointSystem.jacobian_augmented_solved_solved
218 #print axioms Komorebi.PolynomialJointSystem.parameterJacobian
219 #print axioms Komorebi.PolynomialJointSystem.perturb_augmented_root_iff
220 #print axioms Komorebi.PolynomialJointSystem.solvedJacobian
221 #print axioms Komorebi.PolynomialLiftCounts.ActualLifts
222 #print axioms Komorebi.PolynomialLiftCounts.digitAddTorsor
223 #print axioms Komorebi.PolynomialLiftCounts.digitEquivLifts
224 #print axioms Komorebi.PolynomialLiftCounts.digit_residue_solution_iff
225 #print axioms Komorebi.PolynomialLiftCounts.finite_polynomial_lift_count
226 #print axioms Komorebi.PolynomialLiftCounts.liftEquivKernel
227 #print axioms Komorebi.PolynomialLiftCounts.lift_card
228 #print axioms Komorebi.PolynomialLiftCounts.obstructionEquiv
229 #print axioms Komorebi.PolynomialLiftCounts.obstructionEquiv_class
230 #print axioms Komorebi.PolynomialLiftCounts.obstruction_card
231 #print axioms Komorebi.PolynomialLocalInverse.ballMap
232 #print axioms Komorebi.PolynomialLocalInverse.ballMap_bijective
233 #print axioms Komorebi.PolynomialLocalInverse.continuous_ballMap
234 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph
235 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph_apply
236 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph_symm_congruent
237 #print axioms Komorebi.PolynomialLocalInverse.localHomeomorph_symm_eval
238 #print axioms Komorebi.PolynomialLocalMapContract.all_depths_reflected
239 #print axioms Komorebi.PolynomialLocalMapContract.arbitrary_padic_target
240 #print axioms Komorebi.PolynomialLocalSurjective.digitJacobian_sub_C
241 #print axioms Komorebi.PolynomialLocalSurjective.exists_integer_target_preimage
242 #print axioms Komorebi.PolynomialLocalSurjective.exists_padic_preimage
243 #print axioms Komorebi.PolynomialLocalSurjective.isClosed_residueBall
244 #print axioms Komorebi.PolynomialLocalSurjective.isCompact_residueBall
245 #print axioms Komorebi.PolynomialLocalSurjective.residueBall
246 #print axioms Komorebi.PolynomialLocalSurjective.truncInt_tendsto
247 #print axioms Komorebi.PolynomialMinorSelection.exists_permuted_columns
248 #print axioms Komorebi.PolynomialMinorSelection.exists_prime_permuted_columns
249 #print axioms Komorebi.PolynomialMinorSelection.exists_selected_columns
250 #print axioms Komorebi.PolynomialMotionControls.exists_sharp_motion_root
251 #print axioms Komorebi.PolynomialMotionControls.no_uniform_extra_error_digit
252 #print axioms Komorebi.PolynomialMotionControls.sharpQuadratic
253 #print axioms Komorebi.PolynomialMotionControls.sharpQuadratic_base
254 #print axioms Komorebi.PolynomialMotionControls.sharp_error_of_even_root
255 #print axioms Komorebi.PolynomialMotionControls.sharp_mod_eight
256 #print axioms Komorebi.PolynomialMotionEstimate.first_order_error_dvd
257 #print axioms Komorebi.PolynomialMotionNormalization.eval_perturbSystem
258 #print axioms Komorebi.PolynomialMotionNormalization.exists_eval_scaled_difference
259 #print axioms Komorebi.PolynomialMotionNormalization.exists_motion_normalization
260 #print axioms Komorebi.PolynomialMotionNormalization.perturbSystem
261 #print axioms Komorebi.PolynomialMotionNormalization.precondition_perturbSystem
262 #print axioms Komorebi.PolynomialMotionRational.coe_mulVec
263 #print axioms Komorebi.PolynomialMotionRational.exists_rational_error
264 #print axioms Komorebi.PolynomialMotionRational.scaled_inverse_mulVec
265 #print axioms Komorebi.PolynomialObstruction.dvd_iff_of_dvd_sub
266 #print axioms Komorebi.PolynomialObstruction.evalSystem
267 #print axioms Komorebi.PolynomialObstruction.evalSystem_apply
268 #print axioms Komorebi.PolynomialObstruction.finite_polynomial_obstruction
269 #print axioms Komorebi.PolynomialObstruction.jacobian
270 #print axioms Komorebi.PolynomialObstruction.jacobian_apply
271 #print axioms Komorebi.PolynomialObstruction.next_level_iff_digit
272 #print axioms Komorebi.PolynomialObstruction.polynomial_lift_iff_obstruction_zero
273 #print axioms Komorebi.PolynomialObstruction.polynomial_same_residue_lift_iff
274 #print axioms Komorebi.PolynomialObstruction.residual_exists
275 #print axioms Komorebi.PolynomialObstruction.residual_unique
276 #print axioms Komorebi.PolynomialObstruction.taylor_residual_dvd
277 #print axioms Komorebi.PolynomialPadicContraction.contracting_contractionMap
278 #print axioms Komorebi.PolynomialPadicContraction.contractionMap
279 #print axioms Komorebi.PolynomialPadicContraction.evalSystem
280 #print axioms Komorebi.PolynomialPadicContraction.eval_dist_le
281 #print axioms Komorebi.PolynomialPadicContraction.eval_dvd_of_dvd
282 #print axioms Komorebi.PolynomialPadicContraction.exists_unique_fixedPoint
283 #print axioms Komorebi.PolynomialPadicContraction.exists_unique_fixedPoint_divisible
284 #print axioms Komorebi.PolynomialPadicContraction.fixedPoint_divisible
285 #print axioms Komorebi.PolynomialPadicContraction.lipschitz_evalSystem
286 #print axioms Komorebi.PolynomialPadicLift.continuous_padicEval
287 #print axioms Komorebi.PolynomialPadicLift.exists_padic_root
288 #print axioms Komorebi.PolynomialPadicLift.exists_padic_root_with_tower
289 #print axioms Komorebi.PolynomialPadicLift.padicEval
290 #print axioms Komorebi.PolynomialPadicLift.padicEval_intCast
291 #print axioms Komorebi.PolynomialPadicLift.polynomial_tower_limit_root
292 #print axioms Komorebi.PolynomialPadicUnique.exists_unique_padic_root
293 #print axioms Komorebi.PolynomialPadicUnique.int_pow_dvd_iff
294 #print axioms Komorebi.PolynomialPadicUnique.padic_root_unique
295 #print axioms Komorebi.PolynomialPadicUnique.rootResidueLift
296 #print axioms Komorebi.PolynomialPadicUnique.root_next_residue_eq
297 #print axioms Komorebi.PolynomialPadicUnique.toZModPow_eq_iff_dvd_sub
298 #print axioms Komorebi.PolynomialPadicUnique.truncInt
299 #print axioms Komorebi.PolynomialPadicUnique.truncInt_eval_residue
300 #print axioms Komorebi.PolynomialPadicUnique.truncInt_precision
301 #print axioms Komorebi.PolynomialPadicUnique.truncInt_root
302 #print axioms Komorebi.PolynomialPadicUniqueContract.explicit_arbitrary_root_uniqueness
303 #print axioms Komorebi.PolynomialPadicUniqueContract.explicit_unique_padic_root
304 #print axioms Komorebi.PolynomialParameterChart.chartGraph_iff
305 #print axioms Komorebi.PolynomialParameterChart.chartPhi
306 #print axioms Komorebi.PolynomialParameterChart.chartPoint
307 #print axioms Komorebi.PolynomialParameterChart.chartPoint_congruent
308 #print axioms Komorebi.PolynomialParameterChart.chartPoint_congruent_iff
309 #print axioms Komorebi.PolynomialParameterChart.chartPoint_free
310 #print axioms Komorebi.PolynomialParameterChart.chartPoint_graph
311 #print axioms Komorebi.PolynomialParameterChart.chartPoint_root
312 #print axioms Komorebi.PolynomialParameterChart.chartPoint_spec
313 #print axioms Komorebi.PolynomialParameterChart.chartPoint_unique
314 #print axioms Komorebi.PolynomialParameterChart.chartTarget
315 #print axioms Komorebi.PolynomialParameterChart.continuous_chartPhi
316 #print axioms Komorebi.PolynomialParameterChart.continuous_chartPoint
317 #print axioms Komorebi.PolynomialParameterChart.continuous_chartTarget
318 #print axioms Komorebi.PolynomialParameterChart.parameterHomeomorph
319 #print axioms Komorebi.PolynomialParameterControls.full_jacobian_surjective
320 #print axioms Komorebi.PolynomialParameterControls.no_root_at_parameter_two
321 #print axioms Komorebi.PolynomialParameterControls.parameter_two_near_origin
322 #print axioms Komorebi.PolynomialParameterControls.solved_jacobian_not_surjective
323 #print axioms Komorebi.PolynomialParameterControls.solved_jacobian_zero
324 #print axioms Komorebi.PolynomialParameterControls.squareMinusParameter
325 #print axioms Komorebi.PolynomialParameterPath.exists_parameter_path
326 #print axioms Komorebi.PolynomialParameterPath.parameterPath
327 #print axioms Komorebi.PolynomialParameterPath.parameterPath_compatible
328 #print axioms Komorebi.PolynomialParameterPath.parameterPath_precision
329 #print axioms Komorebi.PolynomialParameterPath.parameterPath_tendsto
330 #print axioms Komorebi.PolynomialParameterPath.parameterPath_zero
331 #print axioms Komorebi.PolynomialParameterSystem.augmented
332 #print axioms Komorebi.PolynomialParameterSystem.augmented_free
333 #print axioms Komorebi.PolynomialParameterSystem.augmented_jacobian_surjective
334 #print axioms Komorebi.PolynomialParameterSystem.augmented_solved
335 #print axioms Komorebi.PolynomialParameterSystem.continuous_freePart
336 #print axioms Komorebi.PolynomialParameterSystem.continuous_join
337 #print axioms Komorebi.PolynomialParameterSystem.continuous_solvedPart
338 #print axioms Komorebi.PolynomialParameterSystem.digitJacobian_augmented
339 #print axioms Komorebi.PolynomialParameterSystem.digitJacobian_join_zero
340 #print axioms Komorebi.PolynomialParameterSystem.evalSystem_augmented
341 #print axioms Komorebi.PolynomialParameterSystem.freePart
342 #print axioms Komorebi.PolynomialParameterSystem.freePart_join
343 #print axioms Komorebi.PolynomialParameterSystem.join
344 #print axioms Komorebi.PolynomialParameterSystem.join_free
345 #print axioms Komorebi.PolynomialParameterSystem.join_parts
346 #print axioms Komorebi.PolynomialParameterSystem.join_solved
347 #print axioms Komorebi.PolynomialParameterSystem.padicEval_augmented
348 #print axioms Komorebi.PolynomialParameterSystem.padicEval_augmented_iff
349 #print axioms Komorebi.PolynomialParameterSystem.solvedJacobian
350 #print axioms Komorebi.PolynomialParameterSystem.solvedPart
351 #print axioms Komorebi.PolynomialParameterSystem.solvedPart_join
352 #print axioms Komorebi.PolynomialParameterTowerContracts.actual_integer_path_tower
353 #print axioms Komorebi.PolynomialParameterTowerContracts.actual_square_parameter_uniqueness
354 #print axioms Komorebi.PolynomialParameterTowerContracts.arbitrary_padic_parameter_path
355 #print axioms Komorebi.PolynomialParameterTowerContracts.arbitrary_padic_target_tower
356 #print axioms Komorebi.PolynomialParameterTowerContracts.supplied_path_actual_endpoint
357 #print axioms Komorebi.PolynomialParameterTowerControls.firstSolved
358 #print axioms Komorebi.PolynomialParameterTowerControls.firstSolved_surjective
359 #print axioms Komorebi.PolynomialParameterTowerControls.rectangular_same_parameter_nonunique
360 #print axioms Komorebi.PolynomialPrescribedContract.ActualResidues
361 #print axioms Komorebi.PolynomialPrescribedContract.actualResidueEquiv
362 #print axioms Komorebi.PolynomialPrescribedContract.actualSolvedMap
363 #print axioms Komorebi.PolynomialPrescribedContract.actual_lower_root_obstruction
364 #print axioms Komorebi.PolynomialPrescribedContract.actual_lower_root_prime_count
365 #print axioms Komorebi.PolynomialPrescribedControls.digit_one_empty
366 #print axioms Komorebi.PolynomialPrescribedControls.digit_one_for_three_empty
367 #print axioms Komorebi.PolynomialPrescribedControls.digit_two_for_three_exists
368 #print axioms Komorebi.PolynomialPrescribedControls.full_jacobian_surjective
369 #print axioms Komorebi.PolynomialPrescribedControls.parameterOnly
370 #print axioms Komorebi.PolynomialPrescribedControls.parameterPlusThree
371 #print axioms Komorebi.PolynomialPrescribedControls.prescribed_one_for_three_no_actual_lift
372 #print axioms Komorebi.PolynomialPrescribedControls.prescribed_one_no_actual_lift
373 #print axioms Komorebi.PolynomialPrescribedControls.prescribed_two_for_three_actual_lift
374 #print axioms Komorebi.PolynomialPrescribedControls.prescribed_zero_actual_card
375 #print axioms Komorebi.PolynomialPrescribedControls.solved_jacobian_zero
376 #print axioms Komorebi.PolynomialPrescribedControls.three_residual
377 #print axioms Komorebi.PolynomialPrescribedControls.zeroDigitEquiv
378 #print axioms Komorebi.PolynomialPrescribedControls.zero_digit_card
379 #print axioms Komorebi.PolynomialPrescribedControls.zero_residual
380 #print axioms Komorebi.PolynomialPrescribedCounts.digitAddTorsor
381 #print axioms Komorebi.PolynomialPrescribedCounts.digit_card
382 #print axioms Komorebi.PolynomialPrescribedCounts.liftAddTorsor
383 #print axioms Komorebi.PolynomialPrescribedCounts.liftEquivKernel
384 #print axioms Komorebi.PolynomialPrescribedCounts.lift_card
385 #print axioms Komorebi.PolynomialPrescribedCounts.lift_card_eq_kernel
386 #print axioms Komorebi.PolynomialPrescribedCounts.obstruction_card
387 #print axioms Komorebi.PolynomialPrescribedCounts.obstruction_finrank
388 #print axioms Komorebi.PolynomialPrescribedIntegerTower.exists_prescribed_tower
389 #print axioms Komorebi.PolynomialPrescribedIntegerTower.exists_prescribed_tower_strong
390 #print axioms Komorebi.PolynomialPrescribedIntegerTower.tower_solvedJacobian_eq
391 #print axioms Komorebi.PolynomialPrescribedLifts.PrescribedLifts
392 #print axioms Komorebi.PolynomialPrescribedLifts.freePart_digitResidue
393 #print axioms Komorebi.PolynomialPrescribedLifts.prescribedDigitEquivLifts
394 #print axioms Komorebi.PolynomialPrescribedLifts.prescribedDigitEquivLifts_apply
395 #print axioms Komorebi.PolynomialPrescribedLifts.prescribedDigitEquivRestricted
396 #print axioms Komorebi.PolynomialPrescribedLifts.restrictedDigitEquivLifts
397 #print axioms Komorebi.PolynomialPrescribedObstruction.finite_prescribed_lift_count
398 #print axioms Komorebi.PolynomialPrescribedObstruction.finite_prescribed_obstruction
399 #print axioms Komorebi.PolynomialPrescribedObstruction.prescribed_lift_iff_obstruction_zero
400 #print axioms Komorebi.PolynomialPrescribedObstruction.prescribed_obstruction_finite
401 #print axioms Komorebi.PolynomialPrescribedObstruction.prescribed_residue_exists_iff
402 #print axioms Komorebi.PolynomialPrescribedPadicTower.exists_prescribed_padic_root
403 #print axioms Komorebi.PolynomialPrescribedPadicTower.exists_prescribed_padic_root_with_tower
404 #print axioms Komorebi.PolynomialPrescribedPadicTower.exists_root_with_prescribed_path
405 #print axioms Komorebi.PolynomialPrescribedPadicTower.exists_unique_prescribed_padic_root
406 #print axioms Komorebi.PolynomialPrescribedStep.obstruction_zero
407 #print axioms Komorebi.PolynomialPrescribedStep.one_step_lift
408 #print axioms Komorebi.PolynomialPrescribedStep.prescribed_lift_card
409 #print axioms Komorebi.PolynomialPrescribedStep.solvedJacobian_eq
410 #print axioms Komorebi.PolynomialPrescribedStep.solvedJacobian_shift_eq
411 #print axioms Komorebi.PolynomialPrescribedStep.solved_dimension
412 #print axioms Komorebi.PolynomialPrescribedStep.solved_rank
413 #print axioms Komorebi.PolynomialPrescribedSystem.PrescribedDigits
414 #print axioms Komorebi.PolynomialPrescribedSystem.PrescribedObstruction
415 #print axioms Komorebi.PolynomialPrescribedSystem.digitJacobian_join
416 #print axioms Komorebi.PolynomialPrescribedSystem.obstruction
417 #print axioms Komorebi.PolynomialPrescribedSystem.parameterJacobian
418 #print axioms Komorebi.PolynomialPrescribedSystem.parameterResidual
419 #print axioms Komorebi.PolynomialPrescribedSystem.prescribed_digits_finite
420 #print axioms Komorebi.PolynomialPrescribedSystem.prescribed_digits_nonempty_iff
421 #print axioms Komorebi.PolynomialPrescribedSystem.prescribed_equation_iff
422 #print axioms Komorebi.PolynomialPrescribedSystem.solvedJacobian
423 #print axioms Komorebi.PolynomialPrescribedTowerLimit.prescribed_tower_limit
424 #print axioms Komorebi.PolynomialPrescribedTowerUnique.prescribed_root_eq_chartPoint
425 #print axioms Komorebi.PolynomialPrescribedTowerUnique.prescribed_root_unique
426 #print axioms Komorebi.PolynomialPrescribedTowerUnique.prescribed_tower_endpoints_unique
427 #print axioms Komorebi.PolynomialPrescribedTowerUnique.solvedJacobian_square
428 #print axioms Komorebi.PolynomialRootMotion.exists_perturbed_root_certificate
429 #print axioms Komorebi.PolynomialRootMotion.exists_root_from_original_preconditioner
430 #print axioms Komorebi.PolynomialRootMotion.exists_root_motion
431 #print axioms Komorebi.PolynomialRootMotion.exists_unique_root_motion
432 #print axioms Komorebi.PolynomialRootMotionContract.original_jacobian_integral_error
433 #print axioms Komorebi.PolynomialRootMotionContract.original_jacobian_rational_motion
434 #print axioms Komorebi.PolynomialRootStability.exists_nearby_perturbed_root
435 #print axioms Komorebi.PolynomialRootStability.exists_root_and_unique_perturbation
436 #print axioms Komorebi.PolynomialRootStability.exists_unique_nearby_perturbed_root
437 #print axioms Komorebi.PolynomialRootStability.integer_congruent_of_common_padic
438 #print axioms Komorebi.PolynomialRootStability.perturbed_roots_congruent
439 #print axioms Komorebi.PolynomialRootStabilityContract.explicit_lower_root_and_unique_perturbation
440 #print axioms Komorebi.PolynomialRootStabilityContract.explicit_rectangular_nearby_root
441 #print axioms Komorebi.PolynomialRootStabilityContract.explicit_square_root_displacement
442 #print axioms Komorebi.PolynomialSmoothCounts.exists_regular_tower
443 #print axioms Komorebi.PolynomialSmoothCounts.smooth_dimension
444 #print axioms Komorebi.PolynomialSmoothCounts.smooth_lift_card
445 #print axioms Komorebi.PolynomialSmoothCounts.smooth_obstruction_card
446 #print axioms Komorebi.PolynomialSmoothCounts.smooth_rank
447 #print axioms Komorebi.PolynomialSurjectiveStep.digitJacobian_eq
448 #print axioms Komorebi.PolynomialSurjectiveStep.digitJacobian_shift_eq
449 #print axioms Komorebi.PolynomialSurjectiveStep.one_step_lift
450 #print axioms Komorebi.PolynomialTaylor.directional
451 #print axioms Komorebi.PolynomialTaylor.directional_C
452 #print axioms Komorebi.PolynomialTaylor.directional_X
453 #print axioms Komorebi.PolynomialTaylor.directional_add
454 #print axioms Komorebi.PolynomialTaylor.directional_mul
455 #print axioms Komorebi.PolynomialTaylor.eval_dvd_of_dvd
456 #print axioms Komorebi.PolynomialTaylor.pderiv_eval_dvd_of_dvd
457 #print axioms Komorebi.PolynomialTaylor.taylor_dvd
458 #print axioms Komorebi.PolynomialTaylor.taylor_step_dvd
459 #print axioms Komorebi.PolynomialTaylorDisplacement.taylor_remainder_dvd
460 #print axioms Komorebi.PolynomialTaylorRing.eval_dvd_of_dvd
461 #print axioms Komorebi.PolynomialTaylorRing.eval_linearPart
462 #print axioms Komorebi.PolynomialTaylorRing.eval_scaled_bind
463 #print axioms Komorebi.PolynomialTaylorRing.eval_zero_linearPart
464 #print axioms Komorebi.PolynomialTaylorRing.exists_eval_scaled_remainder
465 #print axioms Komorebi.PolynomialTaylorRing.exists_scaled_remainder
466 #print axioms Komorebi.PolynomialTaylorRing.linearPart
467 #print axioms Komorebi.PolynomialTaylorRing.linearPart_C
468 #print axioms Komorebi.PolynomialTaylorRing.linearPart_X
469 #print axioms Komorebi.PolynomialTaylorRing.linearPart_add
470 #print axioms Komorebi.PolynomialTaylorRing.linearPart_mul
471 #print axioms Komorebi.PolynomialTowerControls.linearMinusTwo
472 #print axioms Komorebi.PolynomialTowerControls.linear_shift_no_extra_precision
473 #print axioms Komorebi.PolynomialTowerControls.linear_shift_nonsingular_lower_root
474 #print axioms Komorebi.PolynomialTowerControls.projectionSystem
475 #print axioms Komorebi.PolynomialTowerControls.projection_jacobian_surjective
476 #print axioms Komorebi.PolynomialTowerControls.projection_two_padic_roots
477 #print axioms Komorebi.PolynomialTowerControls.squareMinusFive
478 #print axioms Komorebi.PolynomialTowerControls.square_minus_five_lower_steps
479 #print axioms Komorebi.PolynomialTowerControls.square_minus_five_no_mod_eight
480 #print axioms Komorebi.PolynomialTowerControls.square_minus_five_no_tower
481 #print axioms Komorebi.PolynomialWeightedAuxiliaryContract.actual_polynomial_contraction
482 #print axioms Komorebi.PolynomialWeightedAuxiliaryContract.exact_inverse_denominator_certificate
483 #print axioms Komorebi.PolynomialWeightedAuxiliaryContract.uniform_polynomial_taylor
484 #print axioms Komorebi.PolynomialWeightedControls.boundary_exact_residual_depth
485 #print axioms Komorebi.PolynomialWeightedControls.boundary_no_mod_eight
486 #print axioms Komorebi.PolynomialWeightedControls.boundary_no_padic_root
487 #print axioms Komorebi.PolynomialWeightedControls.boundary_no_root
488 #print axioms Komorebi.PolynomialWeightedControls.boundary_residual_derivative
489 #print axioms Komorebi.PolynomialWeightedControls.boundary_scaled_inverse
490 #print axioms Komorebi.PolynomialWeightedControls.linear_displacement_sharp
491 #print axioms Komorebi.PolynomialWeightedControls.linear_perturbation_root
492 #print axioms Komorebi.PolynomialWeightedControls.prime_power_exact_depth
493 #print axioms Komorebi.PolynomialWeightedControls.squarePlusThree
494 #print axioms Komorebi.PolynomialWeightedControls.weightedLinear
495 #print axioms Komorebi.PolynomialWeightedInverse.bounded_inverse_iff_certificate
496 #print axioms Komorebi.PolynomialWeightedInverse.certificate_of_integral_inverse
497 #print axioms Komorebi.PolynomialWeightedInverse.eval_precondition
498 #print axioms Komorebi.PolynomialWeightedInverse.integral_inverse_iff_certificate
499 #print axioms Komorebi.PolynomialWeightedInverse.integral_inverse_of_certificate
500 #print axioms Komorebi.PolynomialWeightedInverse.jacobian
501 #print axioms Komorebi.PolynomialWeightedInverse.jacobian_precondition
502 #print axioms Komorebi.PolynomialWeightedInverse.mulVec_injective_of_scalar_certificate
503 #print axioms Komorebi.PolynomialWeightedInverse.mulVec_preserves_dvd
504 #print axioms Komorebi.PolynomialWeightedInverse.padic_mulVec_injective
505 #print axioms Komorebi.PolynomialWeightedInverse.precondition
506 #print axioms Komorebi.PolynomialWeightedInverse.precondition_root_iff
507 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix
508 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_injective
509 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_isUnit_of_certificate
510 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_mul
511 #print axioms Komorebi.PolynomialWeightedInverse.rationalMatrix_scalar
512 #print axioms Komorebi.PolynomialWeightedLift.exists_root_of_normalization
513 #print axioms Komorebi.PolynomialWeightedLift.exists_unique_weighted_root
514 #print axioms Komorebi.PolynomialWeightedLift.exists_weighted_root
515 #print axioms Komorebi.PolynomialWeightedLift.exists_weighted_root_certificate
516 #print axioms Komorebi.PolynomialWeightedLift.shiftedPoint
517 #print axioms Komorebi.PolynomialWeightedLiftContract.actual_jacobian_bounded_inverse
518 #print axioms Komorebi.PolynomialWeightedLiftContract.actual_jacobian_integral_certificate
519 #print axioms Komorebi.PolynomialWeightedNormalization.exists_normalization
520 #print axioms Komorebi.PolynomialWeightedNormalization.precondition_directional
521 #print axioms Komorebi.ResidueLiftDigits.ResidueFiber
522 #print axioms Komorebi.ResidueLiftDigits.digitEquivResidue
523 #print axioms Komorebi.ResidueLiftDigits.digitEquivResidue_apply
524 #print axioms Komorebi.ResidueLiftDigits.digitResidue
525 #print axioms Komorebi.ResidueLiftDigits.digitResidue_injective
526 #print axioms Komorebi.ResidueLiftDigits.digitResidue_mem
527 #print axioms Komorebi.ResidueLiftDigits.digitResidue_surjective
528 #print axioms Komorebi.ResidueLiftDigits.next_modulus_dvd_val_sub_shift
529 #print axioms Komorebi.ResidueLiftDigits.residueFiber_card
530 #print axioms Komorebi.ResidueLiftDigits.shift_cast_eq_iff

Back to source controls