Theorems · Theorem · general topology
OpenPartialHomeomorph.restr_source
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) (s : Set X), (e.restr s).source = e.source ∩ interior s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- interiorstatement · cited by 714
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.restrstatement and proof · cited by 47
Cited by3
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.trans_ofSetproof · cited by 2
- OpenPartialHomeomorph.isLocalStructomorphWithinAt_iffproof · cited by 1
- OpenPartialHomeomorph.restr_eqOnSource_of_eqOnproof · cited by 1