Theorems · Theorem · general topology
OpenPartialHomeomorph.transHomeomorph_eq_trans
∀ {X : Type u_1} {Y : Type u_3} {Z : Type u_5} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
[inst_2 : TopologicalSpace Z] (e : OpenPartialHomeomorph X Y) (f' : Y ≃ₜ Z),
e.transHomeomorph f' = e.trans f'.toOpenPartialHomeomorph- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- Homeomorphstatement and proof · cited by 725
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.transstatement and proof · cited by 98
- Homeomorph.toEquivproof · cited by 77
- Homeomorph.toOpenPartialHomeomorphstatement and proof · cited by 28
- OpenPartialHomeomorph.toPartialEquiv_injectiveproof · cited by 8
- OpenPartialHomeomorph.transHomeomorphstatement and proof · cited by 7
- PartialEquiv.transEquiv_eq_transproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.trans_transHomeomorphproof · cited by 0
- OpenPartialHomeomorph.transHomeomorph_transHomeomorphproof · cited by 0