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Theorems · Definition · ring theory

SetLike.GradeZero.submonoid

{ι : Type u_1} →
  {R : Type u_2} →
    {S : Type u_3} →
      [inst : SetLike S R] →
        [inst_1 : Monoid R] → [inst_2 : AddMonoid ι] → (A : ι → S) → [SetLike.GradedMonoid A] → Submonoid R

The submonoid A 0 of R.

Defined in
Mathlib.Algebra.GradedMonoid
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
SetLikeMonoidAddMonoidSetLike.GradedMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SetLike.GradeZero.subsemiring · cited by 0GradeZero.subsemiringSetLike.GradeZero.coe_submonoid · cited by 0GradeZero.coe_submonoidSetLike.coe · cited by 8199SetLike.coeMonoid · cited by 3887MonoidSubmonoid · cited by 3086SubmonoidAddMonoid · cited by 2864AddMonoidSetLike · cited by 1084SetLikeSetLike.GradedMonoid · cited by 48SetLike.GradedMonoidGradeZero.submonoidCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.