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Theorems · Theorem · general topology

Homeomorph.self_trans_symm

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

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

Homeomorph.symm_comp_toContinuousMap · cited by 1Homeomorph.symm_comp_toCo…TopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphHomeomorph.symm · cited by 365Homeomorph.symmHomeomorph.trans · cited by 49Homeomorph.transHomeomorph.refl · cited by 25Homeomorph.reflHomeomorph.symm_apply_apply · cited by 18Homeomorph.symm_apply_app…Homeomorph.ext · cited by 10Homeomorph.extHomeomorph.self_trans_symmCITED BYCITES

Cites7

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Cited by1

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