Theorems · Definition · linear algebra

LinearMap.fst

(R : Type u) →
  (M : Type v) →
    (M₂ : Type w) →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : AddCommMonoid M₂] → [inst_3 : Module R M] → [inst_4 : Module R M₂] → M × M₂ →ₗ[R] M

The first projection of a product is a linear map.

Defined in

Mathlib.LinearAlgebra.Prod

Cited by

64 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModule