Theorems · Theorem · algebraic topology

IsQuotientCoveringMap.toPermFiber_apply_apply_coe

∀ {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) (a : G) (x_1 : ↑(f ⁻¹' {x})),
  ↑(((hf.toPermFiber x) a) x_1) = a • ↑x_1

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceGroupMulAction