module
module
IndisputableMonolith.Gravity.PhysicalSixTetCubicDirichletInstance
show as:
view Lean formalization →
used by (5)
depends on (4)
declarations in this module (597)
-
def
CanonicalHessianIsDirichlet -
theorem
canonicalHessianIsDirichlet_of_encodedPeriodicFreudenthal -
abbrev
PhysicalFiniteDifferenceDirichletAction -
def
PhysicalFiniteDifferenceDirichletTarget -
def
periodicEdgeStencilDirichletAction -
def
periodicAxisDisp -
def
canonicalPeriodicMixedAxisStencilAction -
def
PeriodicEdgeStencilDirichletTarget -
theorem
periodicEdgeStencilDirichletAction_nonneg -
theorem
periodicEdgeStencilTarget_of_noSelfLoop -
theorem
canonicalPeriodicNoSelfLoopEdges -
theorem
canonicalPeriodicEdgeStencilTarget -
theorem
canonicalPeriodicJQuadraticTerm_eq_edgeStencil -
def
CanonicalPeriodicEdgeStencilLocalCorrespondence -
def
CanonicalPeriodicStrongestTrueReplacement -
theorem
canonicalPeriodicStrongestTrueReplacement_iff_edgeStencilLocalCorrespondence -
theorem
canonicalPeriodicEdgeStencilLocalCorrespondence_of_taylor -
theorem
canonicalPeriodicEdgeStencilLocalCorrespondence_of_flat_and_remainderJets -
theorem
supplies -
theorem
canonicalPeriodicEdgeStencilLocalCorrespondence_of_flat_first_and_directionalHessian -
theorem
canonicalPeriodicEdgeStencilLocalCorrespondence_of_eventuallyZero_edgeStencil_and_taylor -
theorem
canonicalPeriodicEdgeStencilLocalCorrespondence_of_localHessianTaylorInputs -
theorem
canonicalPeriodicStrongestTrueReplacement_of_localHessianTaylorInputs -
structure
PeriodicFreudenthalDirichletCertificate -
def
regularModel_of_periodicFreudenthalCertificate -
def
physicalSixTetModel_of_periodicFreudenthalCertificate -
def
cubicLimitInput_of_periodicFreudenthalCertificate -
theorem
periodicFreudenthalCertificate_cubicLimit -
theorem
periodicFreudenthalCertificate_error_vanishes_along_family -
theorem
periodicFreudenthalCertificate_error_vanishes_of_bounded_error_and_spacing -
structure
PeriodicFreudenthalRefinementFamily -
def
exactPeriodicFreudenthalComparisonCertificate -
def
exactPeriodicFreudenthalComparisonCertificateAtSpacing -
theorem
exactPeriodicFreudenthalComparisonCertificateAtSpacing_converges -
def
canonicalPeriodicEdgeStencilComparisonCertificate -
def
canonicalPeriodicEdgeStencilComparisonCertificateAtSpacing -
def
canonicalPeriodicEdgeStencilContinuumCertificateAtSpacing -
theorem
canonicalPeriodicEdgeStencilComparisonCertificateAtSpacing_converges -
def
canonicalPeriodicEdgeStencilRefinementFamily -
theorem
canonicalPeriodicEdgeStencilRefinementFamily_pointwise_converges -
def
canonicalPeriodicEdgeStencilContinuumRefinementFamily -
theorem
canonicalPeriodicEdgeStencilContinuumRefinementFamily_pointwise_converges -
theorem
canonicalPeriodicEdgeStencilContinuumRefinementFamily_converges_to_fixed_limit -
structure
CanonicalPeriodicFixedContinuumComparisonData -
abbrev
CanonicalPeriodicFixedPhysicalContinuumAction -
structure
CanonicalPeriodicFixedPhysicalActionComparisonData -
def
canonicalPeriodicFixedDirichletContinuumAction -
theorem
canonicalPeriodicFixedDirichletContinuumAction_eq_reggeSecondOrder -
def
canonicalPeriodicFixedDirichletActionComparisonData -
theorem
canonicalPeriodicFixedDirichletAction_pointwise_tendsto -
theorem
canonicalPeriodicFixedDirichletAction_weighted_finite_probe_residual_tendsto_zero -
theorem
canonicalPeriodicFixedDirichletAction_variable_weighted_finite_probe_residual_tendsto_zero -
theorem
canonicalPeriodicNonlinearResidual_bound_to_fixedDirichlet -
theorem
canonicalPeriodicNonlinearResidual_tendsto_zero_to_fixedDirichlet -
theorem
canonicalPeriodicNonlinearResidual_tendsto_zero_eventually_to_fixedDirichlet -
theorem
canonicalPeriodicNonlinearResidual_tendsto_zero_scaled_to_fixedDirichlet -
theorem
canonicalPeriodicNonlinearResidual_tendsto_zero_spacing_scaled_to_fixedDirichlet -
theorem
canonicalPeriodicNonlinearResidual_weighted_finite_probe_spacing_scaled_tendsto_zero -
theorem
canonicalPeriodicNonlinearResidual_variable_weighted_finite_probe_spacing_scaled_tendsto_zero -
theorem
canonicalPeriodicNonlinearResidual_variable_weighted_finite_probe_spacing_scaled_to_secondOrder_tendsto_zero -
theorem
canonicalPeriodicNonlinearAggregate_variable_weighted_finite_probe_spacing_scaled_to_secondOrder_residual_tendsto_zero -
theorem
canonicalPeriodicNonlinearResidual_variable_weighted_finite_probe_spacing_scaled_to_secondOrder_div_spacing_norm_sq_tendsto_zero -
theorem
canonicalPeriodicSecondOrder_variable_weighted_finite_probe_spacing_scaled_div_spacing_norm_sq_tendsto -
def
FlatDeficitZeroTarget -
def
FlatDeficitAngleSumTarget -
theorem
flatDeficitZeroTarget_of_angleSum -
theorem
flatDeficitZeroTarget_iff_globalZeroDeficitAtFlat -
theorem
globalZeroDeficitAtFlat_of_angleSum -
def
freudenthalLocalDihedralAngle -
def
canonicalPeriodicTypedEdgeAngleContribution -
def
CanonicalPeriodicTypedEdgeAngleSumTarget -
def
CanonicalPeriodicDirectTypedEdgeAngleSumTarget -
def
canonicalPeriodicTypedEdgeIncident -
instance
canonicalPeriodicTypedEdgeIncident_decidable -
def
canonicalPeriodicTypedEdgeIncidentSlotWitness -
instance
canonicalPeriodicTypedEdgeIncidentSlotWitness_decidable -
theorem
canonicalPeriodicTypedEdgeIncident_iff_slotWitness -
theorem
canonicalPeriodicTypedEdge_eq_localEdgeOf_of_slotWitness -
theorem
canonicalPeriodicTypedEdgeAngleContribution_eq_of_slot -
def
canonicalPeriodicTypedEdgeLocalEdgeOfWitness