Theorems · Definition · ring theory

CoalgHom.copy

{R : Type u_1} →
  {A : Type u_2} →
    {B : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : AddCommMonoid A] →
          [inst_2 : Module R A] →
            [inst_3 : AddCommMonoid B] →
              [inst_4 : Module R B] →
                [inst_5 : CoalgebraStruct R A] →
                  [inst_6 : CoalgebraStruct R B] → (f : A →ₗc[R] B) → (f' : A → B) → f' = ⇑f → A →ₗc[R] B

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

Defined in

Mathlib.RingTheory.Coalgebra.Hom

Cited by

5 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleCoalgebraStructCoalgebraStruct