Theorems · Theorem · algebraic topology

IsCoveringMap.liftPath_lifts

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
  (cov : IsCoveringMap p) (γ : C(↑unitInterval, X)) (e : E) (γ_0 : γ 0 = p e), p ∘ ⇑(cov.liftPath γ e γ_0) = ⇑γ

Defined in

Mathlib.Topology.Homotopy.Lifting

Cited by

5 results in Mathlib

Foundations

Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace