Theorems · Definition · linear algebra

LinearMap.prodMap

{R : Type u} →
  {M : Type v} →
    {M₂ : Type w} →
      {M₃ : Type y} →
        {M₄ : Type z} →
          [inst : Semiring R] →
            [inst_1 : AddCommMonoid M] →
              [inst_2 : AddCommMonoid M₂] →
                [inst_3 : AddCommMonoid M₃] →
                  [inst_4 : AddCommMonoid M₄] →
                    [inst_5 : Module R M] →
                      [inst_6 : Module R M₂] →
                        [inst_7 : Module R M₃] →
                          [inst_8 : Module R M₄] → (M →ₗ[R] M₃) → (M₂ →ₗ[R] M₄) → M × M₂ →ₗ[R] M₃ × M₄

Prod.map of two linear maps.

Defined in

Mathlib.LinearAlgebra.Prod

Cited by

44 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleModule