Mathlib Map

Theorems · Theorem · category theory

TopCat.pathEquiv_apply_apply

∀ {X : TopCat} {x y : ↑X} (p : X.Path x y) (a : ↑unitInterval),
  (TopCat.pathEquiv p) a = (TopCat.Hom.hom p.hom) (TopCat.I.homeomorph.symm a)
Defined in
Mathlib.Topology.Homotopy.TopCat.Path
Cited by
0 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetReal · cited by 25697RealEquiv · cited by 8337EquivSet.Elem · cited by 7166Set.ElemTopCat.carrier · cited by 3184TopCat.carrierContinuousMap · cited by 2491ContinuousMapTopCat · cited by 1889TopCatHomeomorph · cited by 725HomeomorphunitInterval · cited by 607unitIntervalHomeomorph.symm · cited by 365Homeomorph.symmPath · cited by 318PathTopCat.Hom.hom · cited by 169Hom.homTopCat.I · cited by 64TopCat.ITopCat.Path · cited by 12TopCat.PathTopCat.pathEquiv_apply_applyCITED BYCITES

Cites18

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.