Theorems · Definition · ring theory

CoalgEquivClass.casesOn

{F : Type u_5} →
  {R : Type u_6} →
    {A : Type u_7} →
      {B : Type u_8} →
        [inst : CommSemiring R] →
          [inst_1 : AddCommMonoid A] →
            [inst_2 : AddCommMonoid B] →
              [inst_3 : Module R A] →
                [inst_4 : Module R B] →
                  [inst_5 : CoalgebraStruct R A] →
                    [inst_6 : CoalgebraStruct R B] →
                      [inst_7 : EquivLike F A B] →
                        {motive : CoalgEquivClass F R A B → Sort u} →
                          (t : CoalgEquivClass F R A B) →
                            ([toCoalgHomClass : CoalgHomClass F R A B] → motive ⋯) → motive t

Defined in

Mathlib.RingTheory.Coalgebra.Equiv

Cited by

0 results in Mathlib

Foundations

Depth 11 from the axioms · uses Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModuleCoalgebraStructCoalgebraStructEquivLike