Theorems · Theorem · group theory

mulEquivOfOrderOfEq_symm_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' : ∀ (x : G'), x ∈ Subgroup.zpowers g') (h : orderOf g = orderOf g'),
  (mulEquivOfOrderOfEq hg hg' h).symm g' = g

Defined in

Mathlib.GroupTheory.SpecificGroups.Cyclic

Cited by

0 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupGroup