Theorems · Theorem · linear algebra

FunOnFinite.linearMap_piSingle

∀ (R : Type u_5) (M : Type u_6) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {X : Type u_7}
  {Y : Type u_8} [inst_3 : Finite X] [inst_4 : Finite Y] [inst_5 : DecidableEq X] [inst_6 : DecidableEq Y] (f : X → Y)
  (x : X) (m : M), (FunOnFinite.linearMap R M f) (Pi.single x m) = Pi.single (f x) m

Defined in

Mathlib.LinearAlgebra.Finsupp.Pi

Cited by

3 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleFiniteFiniteDecidableEqDecidableEq