Theorems · Definition · commutative algebra

HomogeneousSubsemiring.noConfusionType

Sort u →
  {ι : Type u_1} →
    {σ : Type u_2} →
      {A : Type u_3} →
        [inst : AddMonoid ι] →
          [inst_1 : Semiring A] →
            [inst_2 : SetLike σ A] →
              [inst_3 : AddSubmonoidClass σ A] →
                {𝒜 : ι → σ} →
                  [inst_4 : DecidableEq ι] →
                    [inst_5 : GradedRing 𝒜] →
                      HomogeneousSubsemiring 𝒜 →
                        {ι' : Type u_1} →
                          {σ' : Type u_2} →
                            {A' : Type u_3} →
                              [inst' : AddMonoid ι'] →
                                [inst'_1 : Semiring A'] →
                                  [inst'_2 : SetLike σ' A'] →
                                    [inst'_3 : AddSubmonoidClass σ' A'] →
                                      {𝒜' : ι' → σ'} →
                                        [inst'_4 : DecidableEq ι'] →
                                          [inst'_5 : GradedRing 𝒜'] → HomogeneousSubsemiring 𝒜' → Sort u

Defined in

Mathlib.RingTheory.GradedAlgebra.Homogeneous.Subsemiring

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidSemiringSetLikeAddSubmonoidClassDecidableEqGradedRingAddMonoidSemiringSetLikeAddSubmonoidClassDecidableEqGradedRing