Theorems · Theorem · algebraic topology

IsQuotientCoveringMap.apply_eq_iff_mem_orbit

∀ {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],
  IsQuotientCoveringMap f G → ∀ {e₁ e₂ : E}, f e₁ = f e₂ ↔ e₁ ∈ MulAction.orbit G e₂

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

6 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceGroupMulAction