Theorems · Theorem · group theory

monoidHomOfForallMemZpowers.congr_simp

∀ {G : Type u_2} {G' : Type u_3} [inst : Group G] [inst_1 : Group G'] {g g_1 : G} (e_g : g = g_1)
  (hg : ∀ (x : G), x ∈ Subgroup.zpowers g) {g' g'_1 : G'} (e_g' : g' = g'_1) (hg' : orderOf g' ∣ orderOf g),
  monoidHomOfForallMemZpowers hg hg' = monoidHomOfForallMemZpowers ⋯ ⋯

Defined in: Mathlib.GroupTheory.SpecificGroups.Cyclic
Cited by: 0 results in Mathlib
Foundations: Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Group

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Groupstatement and proof · cited by 6,238
MonoidHomstatement · cited by 3,629
Subgroupstatement · cited by 3,593
orderOfstatement and proof · cited by 324
Subgroup.zpowersstatement and proof · cited by 204
monoidHomOfForallMemZpowersstatement and proof · cited by 4

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