Theorems · Theorem · general topology
OpenPartialHomeomorph.refl_trans
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y), (OpenPartialHomeomorph.refl X).trans e = e- Cited by
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- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.transstatement and proof · cited by 98
- OpenPartialHomeomorph.reflstatement and proof · cited by 33
- PartialEquiv.refl_transproof · cited by 15
- PartialHomeomorph.toPartialEquiv_injectiveproof · cited by 5
- OpenPartialHomeomorph.toPartialHomeomorph_injectiveproof · cited by 5
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