Theorems · Definition · nonassociative algebras

NonUnitalAlgSemiHomClass.recOn

{F : Type u_1} →
  {R : Type u_2} →
    {S : Type u_3} →
      [inst : Monoid R] →
        [inst_1 : Monoid S] →
          {φ : R →* S} →
            {A : Type u_4} →
              {B : Type u_5} →
                [inst_2 : NonUnitalNonAssocSemiring A] →
                  [inst_3 : NonUnitalNonAssocSemiring B] →
                    [inst_4 : DistribMulAction R A] →
                      [inst_5 : DistribMulAction S B] →
                        [inst_6 : FunLike F A B] →
                          {motive : NonUnitalAlgSemiHomClass F φ A B → Sort u} →
                            (t : NonUnitalAlgSemiHomClass F φ A B) →
                              ([toDistribMulActionSemiHomClass : DistribMulActionSemiHomClass F (⇑φ) A B] →
                                  [toMulHomClass : MulHomClass F A B] → motive ⋯) →
                                motive t

Defined in

Mathlib.Algebra.Algebra.NonUnitalHom

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

MonoidMonoidNonUnitalNonAssocSemiringNonUnitalNonAssocSemiringDistribMulActionDistribMulActionFunLike