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Theorems · Theorem · general topology

Homeomorph.ext

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {h h' : X ≃ₜ Y},
  (∀ (x : X), h x = h' x) → h = h'
Defined in
Mathlib.Topology.Homeomorph.Defs
Cited by
10 results in Mathlib
Foundations
Depth 16 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.ext_iff · cited by 2Homeomorph.ext_iffHomeomorph.self_trans_symm · cited by 1Homeomorph.self_trans_symmHomeomorph.symm_trans_self · cited by 1Homeomorph.symm_trans_selfHomeomorph.addLeft_symm · cited by 0Homeomorph.addLeft_symmHomeomorph.addRight_symm · cited by 0Homeomorph.addRight_symmHomeomorph.sumCongr_trans · cited by 0Homeomorph.sumCongr_transHomeomorph.mulLeft_symm · cited by 0Homeomorph.mulLeft_symmHomeomorph.sumCongr_refl · cited by 0Homeomorph.sumCongr_reflHomeomorph.mulRight_symm · cited by 0Homeomorph.mulRight_symmTopCat.of_isoOfHomeo · cited by 0TopCat.of_isoOfHomeoDFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceHomeomorph · cited by 725HomeomorphDFunLike.ext · cited by 240DFunLike.extHomeomorph.extCITED BYCITES

Cites4

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Cited by10

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