Theorems · Definition · general algebraic systems

Finsupp.mapDomain

{α : Type u_1} → {β : Type u_2} → {M : Type u_5} → [inst : AddCommMonoid M] → (α → β) → (α →₀ M) → β →₀ M

Given f : α → β and v : α →₀ M, mapDomain f v : β →₀ M is the finitely supported function whose value at a : β is the sum of v x over all x such that f x = a.

Defined in

Mathlib.Data.Finsupp.Basic

Cited by

168 results in Mathlib

Foundations

Depth 70 from the axioms, rests on 922 definitions · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoid