Theorems · Definition · linear algebra

DFinsupp.lapply

{ι : Type u_1} →
  {R : Type u_3} →
    {M : ι → Type u_5} →
      [inst : Semiring R] →
        [inst_1 : (i : ι) → AddCommMonoid (M i)] →
          [inst_2 : (i : ι) → Module R (M i)] → (i : ι) → (Π₀ (i : ι), M i) →ₗ[R] M i

Interpret fun (f : Π₀ i, M i) ↦ f i as a linear map.

Defined in

Mathlib.LinearAlgebra.DFinsupp

Cited by

8 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule