Theorems · Theorem · group theory

Finset.sum_ite_irrel

∀ {ι : Type u_1} {M : Type u_3} [inst : AddCommMonoid M] (p : Prop) [inst_1 : Decidable p] (s : Finset ι) (f g : ι → M),
  (∑ x ∈ s, if p then f x else g x) = if p then ∑ x ∈ s, f x else ∑ x ∈ s, g x

Defined in

Mathlib.Algebra.BigOperators.Group.Finset.Defs

Cited by

10 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidDecidable