Theorems · Theorem · group theory

Finset.sum_eq_sum_iff_single

∀ {ι : Type u_1} {M : Type u_3} {s : Finset ι} [inst : AddCommMonoid M] [IsRightCancelAdd M] {f g : ι → M} {i : ι},
  i ∈ s → (∀ j ∈ s, j ≠ i → f j = g j) → (∑ j ∈ s, f j = ∑ j ∈ s, g j ↔ f i = g i)

Defined in

Mathlib.Algebra.BigOperators.Group.Finset.Piecewise

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidIsRightCancelAdd