Theorems · Theorem · general topology
OpenPartialHomeomorph.restr_source_inter
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) (s : Set X), e.restr (e.source ∩ s) = e.restr s- Cited by
- 4 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.
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
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- interiorproof · cited by 714
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.open_sourceproof · cited by 65
- Set.inter_selfproof · cited by 63
- IsOpen.interior_eqproof · cited by 58
- OpenPartialHomeomorph.restrstatement and proof · cited by 47
- PartialEquiv.restrproof · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.trans_of_set'proof · cited by 2
- OpenPartialHomeomorph.ofSet_trans'proof · cited by 1
- ContMDiffFiberwiseLinear.locality_aux₁proof · cited by 0
- StructureGroupoid.HasGroupoid.compproof · cited by 0