Theorems · Theorem · algebraic topology

IsCoveringMap.monodromy_trans_apply

∀ {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} (γ : Path.Homotopic.Quotient x y) (γ' : Path.Homotopic.Quotient y z)
  (e : ↑(p ⁻¹' {x})), cov.monodromy (γ.trans γ') e = cov.monodromy γ' (cov.monodromy γ e)

Defined in

Mathlib.Topology.Homotopy.Lifting

Cited by

0 results in Mathlib

Foundations

Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace