Theorems · Theorem · group theory

AddAction.orbitZMultiplesEquiv_symm_apply

∀ {α : Type u_3} {β : Type u_4} [inst : AddGroup α] (a : α) [inst_1 : AddAction α β] (b : β)
  (k : ZMod (Function.minimalPeriod (fun x => a +ᵥ x) b)),
  (AddAction.orbitZMultiplesEquiv a b).symm k = k.cast • ⟨a, ⋯⟩ +ᵥ ⟨b, ⋯⟩

Defined in

Mathlib.Data.ZMod.QuotientGroup

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddAction