Theorems · Theorem · general topology
PartialHomeomorph.left_inv
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : PartialHomeomorph X Y)
{x : X}, x ∈ e.source → ↑e.symm (↑e x) = x- Defined in
- Mathlib.Topology.PartialHomeomorph.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, 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 · 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
- PartialHomeomorphstatement and proof · cited by 73
- PartialHomeomorph.toFun'statement · cited by 57
- PartialHomeomorph.symmstatement · cited by 38
- PartialEquiv.left_inv'proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- PartialHomeomorph.leftInvOnproof · cited by 2
- Topology.IsEmbedding.toPartialHomeomorph_left_invproof · cited by 0