Theorems · Theorem · algebraic topology

IsQuotientCoveringMap.exists_toPermFiber_eq

∀ {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, ((hf.toPermFiber x) g) e = e'

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

1 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceGroupMulAction