Theorems · Theorem · global analysis
ClosedUnderRestriction.closedUnderRestriction
∀ {H : Type u_1} {inst : TopologicalSpace H} {G : StructureGroupoid H} [self : ClosedUnderRestriction G]
{e : OpenPartialHomeomorph H H}, e ∈ G → ∀ (s : Set H), IsOpen s → e.restr s ∈ G- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ClosedUnderRestriction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsOpenstatement · cited by 2,400
- OpenPartialHomeomorphstatement · cited by 664
- StructureGroupoidstatement and proof · cited by 121
- OpenPartialHomeomorph.restrstatement · cited by 47
- ClosedUnderRestrictionstatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- closedUnderRestriction'proof · cited by 6