Theorems · Theorem · commutative algebra
Subring.sInf_toAddSubgroup
∀ {R : Type u} [inst : NonAssocRing R] (s : Set (Subring R)), (sInf s).toAddSubgroup = ⨅ t ∈ s, t.toAddSubgroup- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddSubgroupstatement · cited by 3,232
- iInfstatement · cited by 1,690
- InfSet.sInfstatement · cited by 935
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.toAddSubgroupstatement · cited by 11
- Subring.mk'_toAddSubgroupproof · cited by 1
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