Theorems · Theorem · group theory

monoidHomOfForallMemZpowers_apply_gen

∀ {G : Type u_2} {G' : Type u_3} [inst : Group G] [inst_1 : Group G'] {g : G} (hg : ∀ (x : G), x ∈ Subgroup.zpowers g)
  {g' : G'} (hg' : orderOf g' ∣ orderOf g), (monoidHomOfForallMemZpowers hg hg') g = g'

Defined in

Mathlib.GroupTheory.SpecificGroups.Cyclic

Cited by

4 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupGroup