Theorems · Definition · category theory
TopCat.pathEquiv
{X : TopCat} → {x y : ↑X} → X.Path x y ≃ Path x yThe bijection between TopCat.Path X x y and _root_.Path x y.
- Defined in
- Mathlib.Topology.Homotopy.TopCat.Path
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Set.Elemproof · cited by 7,166
- TopCat.carrierstatement and proof · cited by 3,184
- ContinuousMapproof · cited by 2,491
- TopCatstatement and proof · cited by 1,889
- unitIntervalproof · cited by 607
- Homeomorph.symmproof · cited by 365
- Pathstatement and proof · cited by 318
- ContinuousMap.compproof · cited by 181
- TopCat.Hom.homproof · cited by 169
- toContinuousMapproof · cited by 99
- TopCat.ofHomproof · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- TopCat.pathEquiv_symm_apply_hom_hom_applystatement and proof · cited by 0
- TopCat.pathEquiv_apply_applystatement and proof · cited by 0