Theorems · Theorem · general algebraic systems

Finsupp.piecewise_apply

∀ {α : Type u_1} {M : Type u_12} [inst : Zero M] {P : α → Prop} [inst_1 : DecidablePred P] (f : Subtype P →₀ M)
  (g : { a // ¬P a } →₀ M) (a : α), (f.piecewise g) a = if h : P a then f ⟨a, h⟩ else g ⟨a, h⟩

Defined in

Mathlib.Data.Finsupp.Basic

Cited by

0 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroDecidablePred