Theorems · Theorem · group theory

AddMonoidHom.map_finsum_of_preimage_zero

∀ {M : Type u_2} {N : Type u_3} {α : Sort u_4} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] (f : M →+ N),
  (∀ (x : M), f x = 0 → x = 0) → ∀ (g : α → M), f (∑ᶠ (i : α), g i) = ∑ᶠ (i : α), f (g i)

Defined in

Mathlib.Algebra.BigOperators.Finprod

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidAddCommMonoid