Theorems · Theorem · group theory

Finset.sum_filter_of_ne

∀ {ι : Type u_1} {M : Type u_4} {s : Finset ι} [inst : AddCommMonoid M] {f : ι → M} {p : ι → Prop}
  [inst_1 : DecidablePred p], (∀ x ∈ s, f x ≠ 0 → p x) → ∑ x ∈ s with p x, f x = ∑ x ∈ s, f x

Defined in

Mathlib.Algebra.BigOperators.Group.Finset.Basic

Cited by

11 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidDecidablePred