Theorems · Definition · linear algebra

LinearMap.eqLocus

{R : Type u_1} →
  {R₂ : Type u_2} →
    {M : Type u_3} →
      {M₂ : Type u_4} →
        [inst : Semiring R] →
          [inst_1 : Semiring R₂] →
            [inst_2 : AddCommMonoid M] →
              [inst_3 : AddCommMonoid M₂] →
                [inst_4 : Module R M] →
                  [inst_5 : Module R₂ M₂] → {τ₁₂ : R →+* R₂} → (M →ₛₗ[τ₁₂] M₂) → (M →ₛₗ[τ₁₂] M₂) → Submodule R M

A linear map version of AddMonoidHom.eqLocusM

Defined in

Mathlib.Algebra.Module.Submodule.EqLocus

Cited by

22 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModule