Theorems · Definition · ring theory

SemilinearMapClass.semilinearMap

{R : Type u_1} →
  {S : Type u_5} →
    {M : Type u_8} →
      {M₃ : Type u_11} →
        {F : Type u_14} →
          [inst : Semiring R] →
            [inst_1 : Semiring S] →
              [inst_2 : AddCommMonoid M] →
                [inst_3 : AddCommMonoid M₃] →
                  [inst_4 : Module R M] →
                    [inst_5 : Module S M₃] →
                      {σ : R →+* S} → F → [inst_6 : FunLike F M M₃] → [SemilinearMapClass F σ M M₃] → M →ₛₗ[σ] M₃

Reinterpret an element of a type of semilinear maps as a semilinear map.

Defined in

Mathlib.Algebra.Module.LinearMap.Defs

Cited by

80 results in Mathlib

Foundations

Depth 18 from the axioms · uses no axioms

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModuleFunLikeSemilinearMapClass