Theorems · Theorem · general algebraic systems

DFinsupp.sum_subtypeDomain_index

∀ {ι : Type u} {γ : Type w} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → Zero (β i)]
  [inst_2 : (i : ι) → (x : β i) → Decidable (x ≠ 0)] [inst_3 : AddCommMonoid γ] {v : Π₀ (i : ι), β i} {p : ι → Prop}
  [inst_4 : DecidablePred p] {h : (i : ι) → β i → γ},
  (∀ x ∈ v.support, p x) → ((DFinsupp.subtypeDomain p v).sum fun i b => h (↑i) b) = v.sum h

Defined in

Mathlib.Data.DFinsupp.BigOperators

Cited by

0 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqZeroDecidableAddCommMonoidDecidablePred