Documentation Verification Report

Homeomorph

📁 Source: Mathlib/RingTheory/Spectrum/Prime/Homeomorph.lean

Statistics

MetricCount
DefinitionsHomeomorph
1
TheoremsisHomeomorph_comap, isHomeomorph_comap_of_isPurelyInseparable, isHomeomorph_comap_tensorProductMap_of_isPurelyInseparable
3
Total4

PrimeSpectrum

Theorems

NameKindAssumesProvesValidatesDepends On
isHomeomorph_comap 📖mathematicalSubring
CommRing.toRing
SetLike.instMembership
Subring.instSetLike
RingHom.range
Monoid.toNatPow
MonoidWithZero.toMonoid
Semiring.toMonoidWithZero
CommSemiring.toSemiring
CommRing.toCommSemiring
Ideal
Preorder.toLE
PartialOrder.toPreorder
Submodule.instPartialOrder
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
Semiring.toModule
RingHom.ker
RingHom
RingHom.instFunLike
RingHom.instRingHomClass
nilradical
IsHomeomorph
PrimeSpectrum
zariskiTopology
comap
RingHom.instRingHomClass
ext
Ideal.ext
Ideal.IsPrime.pow_mem_iff_mem
isPrime
SetLike.ext_iff
ext_iff
IsIntegral.of_pow
RingHom.isIntegralElem_map
Ideal.instIsTwoSided_1
comap_quotientMk_bijective_of_le_nilradical
RingHom.IsIntegral.comap_surjective
RingHom.kerLift_injective
continuous_comap
TopologicalSpace.IsTopologicalBasis.isOpenMap_iff
isTopologicalBasis_basic_opens
Set.eq_preimage_iff_image_eq
basicOpen_pow
isOpen_basicOpen
isHomeomorph_comap_of_isPurelyInseparable 📖mathematicalIsHomeomorph
PrimeSpectrum
TensorProduct
Semifield.toCommSemiring
Field.toSemifield
NonUnitalNonAssocSemiring.toAddCommMonoid
NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring
NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing
NonUnitalCommRing.toNonUnitalNonAssocCommRing
CommRing.toNonUnitalCommRing
EuclideanDomain.toCommRing
Field.toEuclideanDomain
Algebra.toModule
CommSemiring.toSemiring
CommRing.toCommSemiring
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Algebra.TensorProduct.instCommSemiring
zariskiTopology
comap
algebraMap
Algebra.TensorProduct.instSemiring
Algebra.TensorProduct.leftAlgebra
Algebra.id
Algebra.to_smulCommClass
isHomeomorph_comap
Algebra.to_smulCommClass
IsPurelyInseparable.exists_pow_mem_range_tensorProduct
RingHom.instRingHomClass
RingHom.injective_iff_ker_eq_bot
Algebra.TensorProduct.includeLeft_injective
Module.Flat.of_free
Module.Free.of_divisionRing
RingHom.injective
DivisionRing.isSimpleRing
EuclideanDomain.toNontrivial
bot_le
isHomeomorph_comap_tensorProductMap_of_isPurelyInseparable 📖mathematicalIsHomeomorph
PrimeSpectrum
TensorProduct
CommRing.toCommSemiring
NonUnitalNonAssocSemiring.toAddCommMonoid
NonAssocSemiring.toNonUnitalNonAssocSemiring
Semiring.toNonAssocSemiring
DivisionSemiring.toSemiring
Semifield.toDivisionSemiring
Field.toSemifield
CommSemiring.toSemiring
Algebra.toModule
Algebra.TensorProduct.instCommSemiring
Semifield.toCommSemiring
zariskiTopology
comap
AlgHom.toRingHom
Algebra.TensorProduct.instSemiring
Algebra.TensorProduct.leftAlgebra
Algebra.id
IsScalarTower.to_smulCommClass
IsScalarTower.right
Algebra.TensorProduct.map
Algebra.ofId
AlgHom.id
Algebra.to_smulCommClass
IsScalarTower.to_smulCommClass
IsScalarTower.left
IsScalarTower.right
TensorProduct.isScalarTower_left
Algebra.TensorProduct.ext
Algebra.ext_id
AlgHom.ext
Algebra.TensorProduct.map_restrictScalars_comp_includeRight
Algebra.TensorProduct.cancelBaseChange_tmul
one_smul
AlgHomClass.toRingHomClass
AlgEquivClass.toAlgHomClass
AlgEquiv.instAlgEquivClass
AlgHom.algHomClass
IsScalarTower.coe_toAlgHom
IsHomeomorph.comp
isHomeomorph_comap_of_isPurelyInseparable
isHomeomorph_comap_of_bijective
AlgEquiv.bijective

(root)

Definitions

NameCategoryTheorems
Homeomorph 📖CompData
439 mathmath: Homeomorph.isClosed_preimage, Sequential.homeoOfIso_apply, Homeomorph.isInducing, Equiv.coe_toHomeomorph, Homeomorph.smulOfNeZero_symm_apply, affineHomeomorph_image_Ioc, CommRingCat.HomTopology.mvPolynomialHomeomorph_apply_snd, ContinuousLinearEquiv.coe_toHomeomorph, Homeomorph.finTwoArrow_apply, TopCat.isoOfHomeo_inv, Homeomorph.coe_mulRight₀, affineHomeomorph_image_Ico, unitInterval.symmHomeomorph_apply, Trivialization.preimageHomeomorph_symm_apply, Topology.IsGeneratedBy.homeomorph_symm_coe, AlgebraicGeometry.coprodSpec_apply, AlgebraicGeometry.Scheme.Hom.fiberHomeo_apply, Homeomorph.isPathConnected_preimage, Homeomorph.piCongr_apply, Homeomorph.finTwoArrow_symm_apply, IsCoveringMap.comp_homeomorph_iff, IsCoveringMapOn.homeomorph_comp_iff, CompactlyGenerated.homeoOfIso_apply, IsAddQuotientCoveringMap.homeomorph_comp, DilationEquiv.coe_toHomeomorph, AddCircle.homeomorphCircle'_apply_mk, Homeomorph.vadd_symm_apply, MeasureTheory.Measure.InnerRegular.map, GenLoop.fromLoop_apply, Homeomorph.image_interior, MeasureTheory.Measure.InnerRegular.map_iff, stdSimplexHomeomorphUnitInterval_symm_apply_coe, Sequential.homeoOfIso_symm_apply, LocallyConstant.congrLeftRingEquiv_apply_apply, Homeomorph.coe_uniqueProd, MeasureTheory.Measure.toSphere_apply_aux, OnePoint.equivOfIsEmbeddingOfRangeEq_apply_infty, TopCat.uliftFunctorObjHomeo_symm_naturality_apply, Homeomorph.induced_eq, OpenPartialHomeomorph.transHomeomorph_symm_apply, Homeomorph.vaddConst_apply, Homeomorph.homeomorph_mk_coe, MeasureTheory.Measure.OuterRegular.comap, DomMulAct.coe_mkHomeomorph_symm, Homeomorph.coe_addLeft, IsLocalHomeomorph.Homeomorph.isLocalHomeomorph, LinearIsometryEquiv.coe_symm_toHomeomorph, IsCoveringMap.comp_homeomorph, OpenPartialHomeomorph.transHomeomorph_target, Homeomorph.shearAddRight_symm_coe, Homeomorph.piCongrLeft_symm_apply, Equiv.toHomeomorphOfIsInducing_symm_apply, Homeomorph.toOpenPartialHomeomorph_apply, Sequential.isoEquivHomeo_apply, OnePoint.equivOfIsEmbeddingOfRangeEq_apply_coe, Sequential.isoEquivHomeo_symm_apply, AddCircle.homeomorphAddCircle_apply_mk, Topology.IsQuotientMap.lift_apply, AddCircle.homeomorphCircle'_symm_apply, Homeomorph.funSplitAt_symm_apply, Homeomorph.shearMulRight_coe, Topology.IsQuotientMap.homeomorph_apply, Homeomorph.piCurry_apply, Homeomorph.contDiff_unitBall, Homeomorph.isEmbedding, AlgebraicGeometry.sigmaMk_mk, IsometryEquiv.coe_toHomeomorph, Homeomorph.opensCongr_apply, stdSimplexHomeomorphUnitInterval_zero, GenLoop.homotopyTo_apply, Homeomorph.coe_symm_toEquiv, Fin.appendHomeomorph_apply, Homeomorph.coe_prodCongr, Homeomorph.isPreconnected_preimage, Homeomorph.sumArrowHomeomorphProdArrow_apply, Homeomorph.residual_map_eq, Homeomorph.continuous, NumberField.mixedEmbedding.polarSpaceCoord_target, Topology.IsQuotientMap.homeomorph_symm_apply, Homeomorph.measurableEmbedding, affineHomeomorph_symm_apply, Homeomorph.coe_neg, Homeomorph.piCongrLeft_apply_apply, Homeomorph.comap_cocompact, DilationEquiv.coe_symm_toHomeomorph, PrimeSpectrum.coe_preimageHomeomorphFiber_apply_asIdeal, Homeomorph.map_punctured_nhds_eq, Homeomorph.isLocalHomeomorph, OpenPartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv_symm_apply, Homeomorph.isClosed_image, GenLoop.loopHomeo_apply, ContinuousMap.coe_homeoFnOfDiscrete, OpenPartialHomeomorph.homeomorphOfImageSubsetSource_symm_apply, Homeomorph.continuousMapCongr_symm_apply, LinearIsometryEquiv.coe_toHomeomorph, Homeomorph.isProperMap, Homeomorph.image_closure, OpenPartialHomeomorph.toHomeomorphSourceTarget_apply_coe, Homeomorph.divRight_apply, ContinuousCohomology.I_obj_ρ_apply, Homeomorph.continuousMapCongr_apply, Real.sinhHomeomorph_symm_apply, AlgebraicGeometry.coprodMk_inl, image_gaugeRescaleHomeomorph_interior, HomeomorphClass.toHomeomorph_injective, CompHausLike.homeoOfIso_symm_apply, Homeomorph.continuousMapOfUnique_apply, Homeomorph.sumProdDistrib_symm_apply, LocallyConstant.congrLeftₐ_apply_apply, Homeomorph.map_nhds_eq, MeasureTheory.Measure.InnerRegular.comap, Homeomorph.coe_unitBall_apply_zero, Homeomorph.isBigOWith_congr, CompHausLike.isoEquivHomeo_symm_apply, AddOpposite.opHomeomorph_apply, Homeomorph.smul_symm_apply, Homeomorph.Set.univ_symm_apply_coe, exists_homeomorph_image_interior_closure_frontier_eq_unitBall, Homeomorph.piSplitAt_symm_apply, WeakDual.CharacterSpace.homeoEval_naturality, Homeomorph.subLeft_symm_apply, Homeomorph.smulOfNeZero_apply, ContinuousMap.homeoFnOfDiscrete_symm_apply, Homeomorph.sumArrowHomeomorphProdArrow_symm_apply, IsCoveringMapOn.comp_homeomorph_iff, Homeomorph.isSimplyConnected_image, IsEvenlyCovered.homeomorph_comp, CommRingCat.HomTopology.precompHomeomorph_apply, Homeomorph.funUnique_apply, MeasureTheory.Content.is_mul_left_invariant_innerContent, Homeomorph.comp_continuousWithinAt_iff, Homeomorph.smul_apply, Homeomorph.isPathConnected_image, Homeomorph.comp_isOpenMap_iff, Homeomorph.prodPUnit_apply, AlgebraicGeometry.Scheme.coe_homeoOfIso_symm, Nonneg.val_unitsHomeomorphPos_symm_apply_coe, Homeomorph.isCompact_preimage, TopCat.uliftFunctorObjHomeo_naturality_apply, TopCat.homeoOfIso_apply, Homeomorph.isClosed_setOf_iff, Homeomorph.toEquiv_injective, Homeomorph.piEquivPiSubtypeProd_apply, IsCoveringMapOn.comp_homeomorph, CategoryTheory.PreGaloisCategory.toAutHomeo_apply, AlgebraicGeometry.Scheme.homeoOfIso_apply, affineHomeomorph_image_I, Equiv.toHomeomorphOfIsInducing_apply, isHomeomorph_iff_exists_homeomorph, Homeomorph.comp_continuous_iff', Sequential.isoOfHomeo_inv, TopCat.isoOfHomeo_hom, MeasureTheory.Measure.IsFiniteMeasureOnCompacts.comap, Homeomorph.comp_continuousAt_iff', Equiv.toHomeomorphOfContinuousOpen_symm_apply, Homeomorph.coe_inv, Homeomorph.preimage_symm, TopologicalSpace.Compacts.coe_equiv_apply_eq_preimage, Homeomorph.divRight_symm_apply, Nonneg.val_inv_unitsHomeomorphPos_symm_apply_coe, CommRingCat.HomTopology.precompHomeomorph_symm_apply, LinearIsometryEquiv.toHomeomorph_injective, GenLoop.toLoop_apply, HasCompactMulSupport.comp_homeomorph, MeasureTheory.Measure.OuterRegular.map, Homeomorph.toCocompactMap_toFun, Bundle.Trivial.homeomorphProd_symm_apply_snd, CompactlyGenerated.isoOfHomeo_hom, Homeomorph.image_compl, TopologicalSpace.Compacts.equiv_symm_apply, CompactlyGenerated.isoOfHomeo_inv, Homeomorph.map_cocompact, IsCoveringMap.homeomorph_comp_iff, Sequential.isoOfHomeo_hom, Homeomorph.comap_nhds_eq, iccHomeoI_apply_coe, Homeomorph.continuous_symm, Homeomorph.ext_iff, CommRingCat.HomTopology.mvPolynomialHomeomorph_symm_apply_hom, HasCompactSupport.comp_homeomorph, Homeomorph.comp_continuous_iff, Homeomorph.piCongrLeft_apply, Homeomorph.comap_coclosedCompact, LocallyConstant.congrLeftRingEquiv_symm_apply_apply, Homeomorph.image_symm, ContinuousMap.homeoFnOfDiscrete_apply, NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm, Homeomorph.continuousMapOfUnique_symm_apply, unitInterval.symmHomeomorph_symm_apply, Homeomorph.image_apply_coe, homeomorphUnitSphereProd_symm_apply_coe, Homeomorph.vaddConst_symm_apply, tangentBundleModelSpaceHomeomorph_coe, Nonneg.unitsHomeomorphPos_apply_coe, OpenPartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv_apply, Homeomorph.onePointCongr_symm_apply, Homeomorph.unitBall_apply_coe, Homeomorph.preimage_interior, IsAddQuotientCoveringMap.homeomorph_comp_iff, Homeomorph.isHomeomorph, Homeomorph.comp_continuousOn_iff, Topology.image_snd_preimageImageRestrict, Homeomorph.mulLeft₀_symm_apply, LocallyConstant.congrLeftₐ_symm_apply_apply, Equiv.toHomeomorph_apply, Homeomorph.coe_refl, Topology.IsEmbedding.toHomeomorph_apply_coe, stdSimplexHomeomorphUnitInterval_apply_coe, Homeomorph.Set.prod_apply, Homeomorph.isBigO_congr, Topology.IsGeneratedBy.homeomorph_coe, AlgebraicGeometry.coprodSpec_coprodMk, homeomorphSphereProd_symm_apply_coe, Homeomorph.sumProdDistrib_apply, MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProd, Homeomorph.isDenseEmbedding, Homeomorph.piCongrRight_apply, Homeomorph.trans_apply, ContinuousLinearEquiv.coe_symm_toHomeomorph, homeomorphUnitSphereProd_apply_fst_coe, Homeomorph.prodUnique_symm_apply_snd, NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply, Homeomorph.shearMulRight_symm_coe, Homeomorph.nhds_eq_comap, GenLoop.toLoop_apply_coe, CompactlyGenerated.homeoOfIso_symm_apply, Homeomorph.divLeft_apply, Homeomorph.isSigmaCompact_image, Homeomorph.image_symm_apply_coe, IsHomeomorphicTrivialFiberBundle.proj_eq, Homeomorph.piUnique_apply, GenLoop.loopHomeo_symm_apply, NumberField.mixedEmbedding.polarCoord_symm_eq, exists_homeomorph_image_eq, Equiv.toHomeomorphOfContinuousClosed_symm_apply, Homeomorph.Set.prod_symm_apply_coe, Homeomorph.injective, LocallyConstant.congrLeftₗ_symm_apply_apply, Function.RightInverse.homeomorph_symm_apply, Homeomorph.isConnected_preimage, Homeomorph.vadd_apply, Homeomorph.homeomorphOfUnique_symm_apply, AlexDisc.Iso.mk_inv, IsHomeomorph.homeomorph_symm_apply, OpenPartialHomeomorph.homeomorphOfImageSubsetSource_apply, NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsReal, Homeomorph.uniqueProd_symm_apply_snd, Homeomorph.isPreconnected_image, Homeomorph.coe_prodComm, Homeomorph.piFinTwo_apply, Homeomorph.onePointCongr_apply, Homeomorph.piCurry_symm_apply, Homeomorph.image_eq_preimage_symm, alexDiscEquivPreord_unitIso, Homeomorph.sigmaProdDistrib_symm_apply, Metric.PiNatEmbed.toPiNatHomeo_apply_ofPiNat, Homeomorph.comp_isOpenMap_iff', LocallyConstant.congrLeft_symm_apply, Equiv.toHomeomorphOfContinuousClosed_apply, Homeomorph.toContinuousMap_comp_symm, NumberField.mixedEmbedding.volume_preserving_homeoRealMixedSpacePolarSpace, tsupport_comp_eq_preimage, HomeomorphClass.instHomeomorph, Homeomorph.preimage_frontier, MeasureTheory.locallyIntegrable_map_homeomorph, Homeomorph.preimage_image, Trivialization.coordChangeHomeomorph_coe, CompHausLike.homeoOfIso_apply, ContinuousMap.sigmaCodHomeomorph_symm_apply, stdSimplexHomeomorphUnitInterval_one, Homeomorph.subRight_symm_apply, Homeomorph.coe_prodUnique, Homeomorph.isCompact_image, MeasureTheory.Measure.Regular.comap, Homeomorph.preimage_closure, Bundle.Trivial.homeomorphProd_symm_apply_proj, Homeomorph.self_comp_symm, iccHomeoI_symm_apply_coe, Trivialization.preimageHomeomorph_apply, image_gaugeRescaleHomeomorph_closure, CompactlyGenerated.isoEquivHomeo_symm_apply, tangentBundleModelSpaceHomeomorph_coe_symm, LocallyConstant.congrLeftₗ_apply_apply, Homeomorph.isClosedMap, IsEvenlyCovered.comp_homeomorph_iff, Homeomorph.compStarAlgEquiv'_apply, Homeomorph.isConnected_image, Homeomorph.Set.univ_apply, NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_fst_ofIsComplex, Trivialization.preimageSingletonHomeomorph_symm_apply, Trivialization.transFiberHomeomorph_apply, DomAddAct.coe_mkHomeomorph_symm, Homeomorph.toMeasurableEquiv_symm_coe, Homeomorph.refl_apply, Homeomorph.piUnique_symm_apply, Homeomorph.piEquivPiSubtypeProd_symm_apply, Topology.IsEmbedding.homeomorphOfSubsetRange_apply_coe, affineHomeomorph_image_Ioo, AlexDisc.Iso.mk_hom, MulOpposite.opHomeomorph_symm_apply, Homeomorph.coe_mulRight, IsQuotientCoveringMap.homeomorph_comp_iff, MeasureTheory.Content.is_add_left_invariant_innerContent, CompactlyGenerated.isoEquivHomeo_apply, Homeomorph.shearAddRight_coe, Homeomorph.divLeft_symm_apply, DomAddAct.coe_mkHomeomorph, Homeomorph.homeomorphOfUnique_apply, Homeomorph.coe_toHomotopyEquiv, MeasureTheory.Measure.Regular.map, NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply, Trivialization.sourceHomeomorphBaseSetProd_symm_apply, Homeomorph.transOpenPartialHomeomorph_symm_apply, Homeomorph.comp_continuousAt_iff, Homeomorph.mulRight₀_symm_apply, NumberField.mixedEmbedding.polarSpaceCoord_apply, Homeomorph.toOpenPartialHomeomorph_symm_apply, TopCat.homeoOfIso_symm_apply, CommRingCat.HomTopology.mvPolynomialHomeomorph_apply_fst, Homeomorph.symm_apply_eq, Homeomorph.transOpenPartialHomeomorph_source, homeomorphSphereProd_apply_snd_coe, Homeomorph.isOpen_image, ModelWithCorners.toHomeomorph_apply, ApproximatesLinearOn.exists_homeomorph_extension, Homeomorph.coe_trans, CompHausLike.isoOfHomeo_inv_hom_hom_apply, AlgebraicGeometry.Scheme.Hom.homeomorph_apply, ContinuousMap.homeoFnOfDiscrete_symm_apply_apply, Homeomorph.coe_mulLeft₀, ContinuousAffineEquiv.toContinuousAffineMap_toContinuousMap, NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply_snd, Fin.appendHomeomorph_symm_apply, Homeomorph.isOpenEmbedding, ENNReal.logHomeomorph_apply, PrimeSpectrum.coe_preimageHomeomorphFiber_symm_apply_coe_asIdeal, AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm, IsEvenlyCovered.comp_homeomorph, HomeomorphClass.coe_coe, homeomorphUnitSphereProd_apply_snd_coe, contMDiff_tangentBundleModelSpaceHomeomorph, DomMulAct.coe_mkHomeomorph, Homeomorph.isSimplyConnected_preimage, Cube.insertAt_boundary, MeasureTheory.Measure.IsFiniteMeasureOnCompacts.map, affineHomeomorph_image_Icc, homeomorphSphereProd_apply_fst_coe, Homeomorph.homeomorph_mk_coe_symm, Homeomorph.apply_symm_apply, affineHomeomorph_apply, AffineEquiv.coe_toHomeomorphOfFiniteDimensional, mulTSupport_comp_eq_preimage, Homeomorph.subLeft_apply, AffineIsometryEquiv.coe_toHomeomorph, Homeomorph.image_preimage, NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_symm_apply, contMDiff_tangentBundleModelSpaceHomeomorph_symm, Homeomorph.symm_trans_apply, Metric.Snowflaking.homeomorph_symm_apply, Homeomorph.compStarAlgEquiv'_symm_apply, Homeomorph.instContinuousMapClass, Homeomorph.funSplitAt_apply, Metric.PiNatEmbed.toPiNatHomeo_symm_apply, Homeomorph.image_frontier, CompHausLike.isoEquivHomeo_apply, Trivialization.sourceHomeomorphBaseSetProd_apply, MeasureTheory.Measure.Regular.map_iff, Homeomorph.measurable, TopologicalSpace.Compacts.equiv_apply, Homeomorph.symm_apply_apply, OrderIso.coe_toHomeomorph, Homeomorph.isClosedEmbedding, Equiv.toHomeomorphOfContinuousOpen_apply, Homeomorph.image_connectedComponentIn, Topology.IsEmbedding.toHomeomorph_symm_apply, CompHausLike.isoOfHomeo_hom_hom_hom_apply, UniformEquiv.toHomeomorph_symm_apply, UniformEquiv.toHomeomorph_apply, Homeomorph.surjective, IsEvenlyCovered.homeomorph_comp_iff, Topology.IsEmbedding.toHomeomorphOfSurjective_apply, Homeomorph.range_coe, Homeomorph.coe_mulLeft, Homeomorph.symm_map_nhds_eq, Homeomorph.funUnique_symm_apply, OpenPartialHomeomorph.transHomeomorph_apply, Homeomorph.piSplitAt_apply, AlgebraicGeometry.Scheme.coe_homeoOfIso, Homeomorph.symm_bijective, AddCircle.homeomorphCircle'_apply, Homeomorph.sigmaProdDistrib_apply, AddCircle.homeomorphCircle_apply, Homeomorph.coe_sumComm, Homeomorph.coe_toEquiv, EReal.expHomeomorph_apply, Homeomorph.symm_comp_self, Homeomorph.isSigmaCompact_preimage, Homeomorph.isOpenQuotientMap, IsQuotientCoveringMap.homeomorph_comp, Homeomorph.piFinTwo_symm_apply, Homeomorph.symm_comp_toContinuousMap, AlgebraicGeometry.Scheme.Hom.fiberι_fiberHomeo_symm, GenLoop.homotopyFrom_apply, Homeomorph.subRight_apply, Bundle.Trivial.homeomorphProd_apply, Function.RightInverse.homeomorph_apply, GenLoop.fromLoop_coe, OrderIso.coe_toHomeomorph_symm, Homeomorph.isLittleO_congr, AlgebraicGeometry.coprodMk_inr, Homeomorph.isOpen_preimage, Trivialization.preimageSingletonHomeomorph_apply, Homeomorph.bijective, AffineIsometryEquiv.coe_symm_toHomeomorph, Homeomorph.transOpenPartialHomeomorph_apply, IsometryEquiv.coe_toHomeomorph_symm, Homeomorph.map_coclosedCompact, Homeomorph.sumEmpty_apply, IsCoveringMapOn.homeomorph_comp, Homeomorph.isOpenMap, Homeomorph.isQuotientMap, Diffeomorph.coe_toHomeomorph_symm, AddOpposite.opHomeomorph_symm_apply, LocallyConstant.congrLeft_apply, Homeomorph.coinduced_eq, Homeomorph.coe_addRight, Homeomorph.coe_punitProd, OpenPartialHomeomorph.toHomeomorphSourceTarget_symm_apply_coe, ModelWithCorners.toHomeomorph_symm_apply, IsHomeomorph.homeomorph_apply, AddCircle.homeomorphAddCircle_symm_apply_mk, Real.sinhHomeomorph_apply, Diffeomorph.coe_toHomeomorph, MulOpposite.opHomeomorph_apply, IsCoveringMap.homeomorph_comp, Metric.Snowflaking.homeomorph_apply, polynomialFunctions.comap_compRightAlgHom_iccHomeoI, Homeomorph.unitBall_symm_apply, Homeomorph.toMeasurableEquiv_coe

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