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Theorems · Definition · general algebraic systems

Finsupp.piecewise

{α : Type u_1} →
  {M : Type u_12} →
    [inst : Zero M] → {P : α → Prop} → [DecidablePred P] → (Subtype P →₀ M) → ({ a // ¬P a } →₀ M) → α →₀ M

Combine finitely supported functions over {a // P a} and {a // ¬P a}, by case-splitting on P a.

Defined in
Mathlib.Data.Finsupp.Basic
Cited by
4 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroDecidablePred

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