Theorems · Definition · group theory

MulSemiringActionHom.comp

{M : Type u_1} →
  [inst : Monoid M] →
    {N : Type u_2} →
      [inst_1 : Monoid N] →
        {P : Type u_3} →
          [inst_2 : Monoid P] →
            {φ : M →* N} →
              {ψ : N →* P} →
                {χ : M →* P} →
                  {R : Type u_10} →
                    [inst_3 : Semiring R] →
                      [inst_4 : MulSemiringAction M R] →
                        {S : Type u_12} →
                          [inst_5 : Semiring S] →
                            [inst_6 : MulSemiringAction N S] →
                              {T : Type u_14} →
                                [inst_7 : Semiring T] →
                                  [inst_8 : MulSemiringAction P T] →
                                    (S →ₑ+*[ψ] T) → (R →ₑ+*[φ] S) → [κ : φ.CompTriple ψ χ] → R →ₑ+*[χ] T

Composition of two equivariant additive ring homomorphisms.

Defined in

Mathlib.GroupTheory.GroupAction.Hom

Cited by

3 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

MonoidMonoidMonoidSemiringMulSemiringActionSemiringMulSemiringActionSemiringMulSemiringActionMonoidHom.CompTriple