Theorems · Theorem · group theory

Monoid.PushoutI.NormalWord.prod_base_smul

∀ {ι : Type u_1} {G : ι → Type u_2} {H : Type u_3} [inst : (i : ι) → Group (G i)] [inst_1 : Group H]
  {φ : (i : ι) → H →* G i} {d : Monoid.PushoutI.NormalWord.Transversal φ} (h : H) (w : Monoid.PushoutI.NormalWord d),
  (h • w).prod = (Monoid.PushoutI.base φ) h * w.prod

Defined in

Mathlib.GroupTheory.PushoutI

Cited by

1 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Quot.sound

Assumes

GroupGroup