Theorems · Theorem · group theory

zmodMulEquivOfGenerator_apply_ofAdd_intCast

∀ {G : Type u_2} [inst : Group G] {g : G} (hg : ∀ (x : G), x ∈ Subgroup.zpowers g) {n : ℕ} (hn : Nat.card G = n)
  (i : ℤ), (zmodMulEquivOfGenerator hg hn) (Multiplicative.ofAdd ↑i) = g ^ i

Defined in

Mathlib.GroupTheory.SpecificGroups.Cyclic

Cited by

0 results in Mathlib

Foundations

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

Assumes

Group