Theorems · Theorem · group theory

Con.finsuppProd

∀ {ι : Type u_1} {β : Type u_2} {M : Type u_3} [inst : CommMonoid M] [inst_1 : Zero β] (c : Con M) (h h' : ι → β → M)
  {f g : ι →₀ β},
  (∀ (i : ι), c (h i 0) 1) →
    (∀ (i : ι), c (h' i 0) 1) → (∀ (i : ι), c (h i (f i)) (h' i (g i))) → c (f.prod h) (g.prod h')

Defined in

Mathlib.GroupTheory.Congruence.BigOperators

Cited by

1 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidZero