Theorems · Theorem · general topology
OpenPartialHomeomorph.ofSet_trans
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) {s : Set X} (hs : IsOpen s), (OpenPartialHomeomorph.ofSet s hs).trans e = e.restr s- Cited by
- 3 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.
Cites14
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
- IsOpenstatement and proof · cited by 2,400
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- OpenPartialHomeomorphstatement and proof · cited by 664
- Set.inter_commproof · cited by 291
- OpenPartialHomeomorph.transstatement and proof · cited by 98
- IsOpen.interior_eqproof · cited by 58
- OpenPartialHomeomorph.restrstatement and proof · cited by 47
- PartialEquiv.restrproof · cited by 38
Cited by3
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.ofSet_trans'proof · cited by 1
- closedUnderRestriction_iff_id_leproof · cited by 1
- OpenPartialHomeomorph.subtypeRestr_symm_trans_subtypeRestrproof · cited by 1