Theorems · Theorem · general topology
PartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv_apply
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : PartialHomeomorph X Y)
(h : e.source = Set.univ) (h' : e.target = Set.univ), ⇑(e.toHomeomorphOfSourceEqUnivTargetEqUniv h h') = ↑e- Defined in
- Mathlib.Topology.PartialHomeomorph.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement and proof · cited by 3,945
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- Homeomorphstatement · cited by 725
- PartialEquiv.targetstatement and proof · cited by 650
- PartialHomeomorphstatement and proof · cited by 73
- PartialHomeomorph.toFun'statement · cited by 57
- PartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUnivstatement and proof · cited by 2
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