Theorems · Theorem · group theory

zmodAddEquivOfGenerator_apply_intCast

∀ {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) ↑i = i • g

Defined in

Mathlib.GroupTheory.SpecificGroups.Cyclic

Cited by

3 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroup