Theorems · Inductive type · ring theory

BialgEquiv

(R : Type u) →
  [inst : CommSemiring R] →
    (A : Type v) →
      (B : Type w) →
        [inst_1 : Semiring A] →
          [inst_2 : Semiring B] →
            [inst_3 : Algebra R A] →
              [inst_4 : Algebra R B] → [CoalgebraStruct R A] → [CoalgebraStruct R B] → Type (max v w)

An equivalence of bialgebras is an invertible bialgebra homomorphism.

Defined in

Mathlib.RingTheory.Bialgebra.Equiv

Cited by

88 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStruct