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Theorems · Theorem · general topology

Homeomorph.self_comp_symm

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
  ⇑h ∘ ⇑h.symm = id
Defined in
Mathlib.Topology.Homeomorph.Defs
Cited by
5 results in Mathlib
Foundations
Depth 17 from the axioms · uses Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Homeomorph.isQuotientMap · cited by 22Homeomorph.isQuotientMapTopology.IsEmbedding.isStrictMap_iff · cited by 6IsEmbedding.isStrictMap_i…CompactT2.ExtremallyDisconnected.projective · cited by 1ExtremallyDisconnected.pr…Homeomorph.comp_isOpenMap_iff' · cited by 0Homeomorph.comp_isOpenMap…Homeomorph.isOpenQuotient_comp_iff · cited by 0Homeomorph.isOpenQuotient…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphHomeomorph.symm · cited by 365Homeomorph.symmHomeomorph.apply_symm_apply · cited by 18Homeomorph.apply_symm_app…Homeomorph.self_comp_symmCITED BYCITES

Cites5

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Cited by5

Results whose statement or proof uses this declaration.