Theorems · Theorem · linear algebra

FunOnFinite.map_piSingle

∀ {M : Type u_5} [inst : AddCommMonoid M] {X : Type u_6} {Y : Type u_7} [inst_1 : Finite X] [inst_2 : Finite Y]
  [inst_3 : DecidableEq X] [inst_4 : DecidableEq Y] (f : X → Y) (x : X) (m : M),
  FunOnFinite.map f (Pi.single x m) = Pi.single (f x) m

Defined in

Mathlib.LinearAlgebra.Finsupp.Pi

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidFiniteFiniteDecidableEqDecidableEq