Theorems · Theorem · algebraic topology

IsCoveringMap.map_liftPathQuotient

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
  (cov : IsCoveringMap p) {x y : X} (γ : Path.Homotopic.Quotient x y) (e : ↑(p ⁻¹' {x})),
  (cov.liftPathQuotient γ e).map { toFun := p, continuous_toFun := ⋯ } = γ.cast ⋯ ⋯

Defined in

Mathlib.Topology.Homotopy.Lifting

Cited by

2 results in Mathlib

Foundations

Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace