Theorems · Theorem · linear algebra

FunOnFinite.map_apply_apply

∀ {M : Type u_5} [inst : AddCommMonoid M] {X : Type u_6} {Y : Type u_7} [inst_1 : Fintype X] [inst_2 : Finite Y]
  [inst_3 : DecidableEq Y] (f : X → Y) (s : X → M) (y : Y), FunOnFinite.map f s y = ∑ x with f x = y, s x

Defined in

Mathlib.LinearAlgebra.Finsupp.Pi

Cited by

2 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidFintypeFiniteDecidableEq