Theorems · Theorem · algebraic topology

IsCoveringMap.liftPath_trans

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
  (cov : IsCoveringMap p) {x y z : X} {e : E} (hpe : x = p e) (γ : Path x y) (γ' : Path y z),
  cov.liftPath (↑(γ.trans γ')) e ⋯ =
    ↑({ toContinuousMap := cov.liftPath (↑γ) e ⋯, source' := ⋯, target' := ⋯ }.trans
        { toContinuousMap := cov.liftPath (↑γ') ((cov.liftPath (↑γ) e ⋯) 1) ⋯, source' := ⋯, target' := ⋯ })

Defined in

Mathlib.Topology.Homotopy.Lifting

Cited by

1 results in Mathlib

Foundations

Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace