Theorems · Theorem · algebraic topology

IsQuotientCoveringMap.fiberEquivGroup_eq_iff

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {G : Type u_3}
  [inst_2 : Group G] [inst_3 : MulAction G E] (hf : IsQuotientCoveringMap f G) {x : X} (e e' : ↑(f ⁻¹' {x})) (g : G),
  (hf.fiberEquivGroup e) e' = g ↔ ↑e' = g • ↑e

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

0 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceGroupMulAction