Theorems · Definition · ring theory

BialgHomClass.casesOn

{F : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      {B : Type u_4} →
        [inst : CommSemiring R] →
          [inst_1 : Semiring A] →
            [inst_2 : Algebra R A] →
              [inst_3 : Semiring B] →
                [inst_4 : Algebra R B] →
                  [inst_5 : CoalgebraStruct R A] →
                    [inst_6 : CoalgebraStruct R B] →
                      [inst_7 : FunLike F A B] →
                        {motive : BialgHomClass F R A B → Sort u} →
                          (t : BialgHomClass F R A B) →
                            ([toCoalgHomClass : CoalgHomClass F R A B] →
                                [toMonoidHomClass : MonoidHomClass F A B] → motive ⋯) →
                              motive t

Defined in

Mathlib.RingTheory.Bialgebra.Hom

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebraCoalgebraStructCoalgebraStructFunLike