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Theorems · Definition · ring theory

SetLike.GradeZero.subring

{ι : Type u_1} →
  {σ : Type u_2} →
    {R : Type u_4} →
      [inst : Ring R] →
        [inst_1 : AddMonoid ι] →
          [inst_2 : SetLike σ R] → [AddSubgroupClass σ R] → (A : ι → σ) → [SetLike.GradedMonoid A] → Subring R

The subring A 0 of R.

Defined in
Mathlib.Algebra.DirectSum.Internal
Cited by
0 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
RingAddMonoidSetLikeAddSubgroupClassSetLike.GradedMonoid
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Around this declaration

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Ring · cited by 7463RingAddMonoid · cited by 2864AddMonoidSetLike · cited by 1084SetLikeSubring · cited by 602SubringSubsemiring · cited by 456SubsemiringAddSubgroupClass · cited by 240AddSubgroupClassSetLike.GradedMonoid · cited by 48SetLike.GradedMonoidSetLike.GradeZero.subsemiring · cited by 0GradeZero.subsemiringGradeZero.subringCITED BYCITES

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