Theorems · Definition · category theory

CoalgEquiv.toCoalgIso

{R : Type u} →
  [inst : CommRing R] →
    {X Y : Type v} →
      [inst_1 : AddCommGroup X] →
        [inst_2 : Module R X] →
          [inst_3 : AddCommGroup Y] →
            [inst_4 : Module R Y] →
              [inst_5 : Coalgebra R X] → [inst_6 : Coalgebra R Y] → (X ≃ₗc[R] Y) → (CoalgCat.of R X ≅ CoalgCat.of R Y)

Build an isomorphism in the category CoalgCat R from a CoalgEquiv.

Defined in

Mathlib.Algebra.Category.CoalgCat.Basic

Cited by

8 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleCoalgebraCoalgebra