Theorems · Definition · ring theory

BialgEquiv.noConfusionType

Sort u_1 →
  {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] →
                  [inst_5 : CoalgebraStruct R A] →
                    [inst_6 : CoalgebraStruct R B] →
                      (A ≃ₐc[R] B) →
                        {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'] →
                                        [inst'_5 : CoalgebraStruct R' A'] →
                                          [inst'_6 : CoalgebraStruct R' B'] → (A' ≃ₐc[R'] B') → Sort u_1

Defined in

Mathlib.RingTheory.Bialgebra.Equiv

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStructCommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStruct