Theorems · Theorem · general topology
OpenPartialHomeomorph.symm_trans_restr
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) {s : Set X} (e' : OpenPartialHomeomorph X Y),
IsOpen s → e'.symm.trans (e.restr s) ≈ (e'.symm.trans e).restr (e'.target ∩ ↑e'.symm ⁻¹' s)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.preimagestatement and proof · cited by 4,946
- IsOpenstatement and proof · cited by 2,400
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- interiorproof · cited by 714
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement and proof · cited by 650
- Set.EqOnproof · cited by 603
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