Theorems · Theorem · linear algebra

LinearMap.fst_prodOfFinsuppNat

∀ {R : Type u_1} {M : Type u_2} {P : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : AddCommMonoid P] [inst_4 : Module R P] (f : P × M →ₗ[R] M) (x : ℕ →₀ P), (f.prodOfFinsuppNat x).1 = x 0

Defined in

Mathlib.LinearAlgebra.Finsupp.Pi

Cited by

1 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModule