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Theorems · Definition · Lie groups

DomMulAct.mkHomeomorph

{M : Type u_1} → [inst : TopologicalSpace M] → M ≃ₜ Mᵈᵐᵃ

DomMulAct.mk as a homeomorphism.

Defined in
Mathlib.Topology.Algebra.Constructions.DomMulAct
Cited by
17 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

DomMulAct.comap_mk.symm_nhds · cited by 0comap_mk.symm_nhdsDomMulAct.toEquiv_mkHomeomorph · cited by 0DomMulAct.toEquiv_mkHomeo…DomMulAct.isClosedEmbedding_mk · cited by 0DomMulAct.isClosedEmbeddi…DomMulAct.isClosedEmbedding_mk_symm · cited by 0DomMulAct.isClosedEmbeddi…DomMulAct.isEmbedding_mk · cited by 0DomMulAct.isEmbedding_mkDomMulAct.isEmbedding_mk_symm · cited by 0DomMulAct.isEmbedding_mk_…DomMulAct.isInducing_mk · cited by 0DomMulAct.isInducing_mkDomMulAct.isInducing_mk_symm · cited by 0DomMulAct.isInducing_mk_s…DomMulAct.isOpenEmbedding_mk · cited by 0DomMulAct.isOpenEmbedding…DomMulAct.isOpenEmbedding_mk_symm · cited by 0DomMulAct.isOpenEmbedding…DomMulAct.isQuotientMap_mk · cited by 0DomMulAct.isQuotientMap_mkDomMulAct.isQuotientMap_mk_symm · cited by 0DomMulAct.isQuotientMap_m…DomMulAct.map_mk_nhds · cited by 0DomMulAct.map_mk_nhdsDomMulAct.map_mk_symm_nhds · cited by 0DomMulAct.map_mk_symm_nhdsDomMulAct.coe_mkHomeomorph · cited by 0DomMulAct.coe_mkHomeomorphTopologicalSpace · cited by 24529TopologicalSpaceEquiv · cited by 8337EquivHomeomorph · cited by 725HomeomorphDomMulAct · cited by 71DomMulActDomMulAct.mk · cited by 56DomMulAct.mkDomMulAct.mkHomeomorphCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.