Theorems · Definition · ring theory

LinearMap.copy

{R : Type u_1} →
  {S : Type u_5} →
    {M : Type u_8} →
      {M₃ : Type u_11} →
        [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 : M →ₛₗ[σ] M₃) → (f' : M → M₃) → f' = ⇑f → M →ₛₗ[σ] M₃

Copy of a LinearMap with a new toFun equal to the old one. Useful to fix definitional equalities.

Defined in

Mathlib.Algebra.Module.LinearMap.Defs

Cited by

3 results in Mathlib

Foundations

Depth 22 from the axioms · uses no axioms

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidModuleModule