Theorems · Definition · ring theory

CoalgEquiv.refl

(R : Type u_1) →
  (A : Type u_2) →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid A] → [inst_2 : Module R A] → [inst_3 : CoalgebraStruct R A] → A ≃ₗc[R] A

The identity map is a coalgebra equivalence.

Defined in

Mathlib.RingTheory.Coalgebra.Equiv

Cited by

7 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleCoalgebraStruct