Theorems · Theorem · group theory

zmodAddEquivOfGenerator_symm_apply_zsmul

∀ {G : Type u_2} [inst : AddGroup G] {g : G} (hg : ∀ (x : G), x ∈ AddSubgroup.zmultiples g) {n : ℕ}
  (hn : Nat.card G = n) (i : ℤ), (zmodAddEquivOfGenerator hg hn).symm (i • g) = ↑i

Defined in

Mathlib.GroupTheory.SpecificGroups.Cyclic

Cited by

2 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroup