Theorems · Inductive type · ring theory

CoalgEquiv

(R : Type u_5) →
  [inst : CommSemiring R] →
    (A : Type u_6) →
      (B : Type u_7) →
        [inst_1 : AddCommMonoid A] →
          [inst_2 : AddCommMonoid B] →
            [inst_3 : Module R A] →
              [inst_4 : Module R B] → [CoalgebraStruct R A] → [CoalgebraStruct R B] → Type (max u_6 u_7)

An equivalence of coalgebras is an invertible coalgebra homomorphism.

Defined in

Mathlib.RingTheory.Coalgebra.Equiv

Cited by

77 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModuleCoalgebraStructCoalgebraStruct