Theorems · Theorem · ring theory
NonUnitalSubring.sInf_toSubsemigroup
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] (s : Set (NonUnitalSubring R)),
(sInf s).toSubsemigroup = ⨅ t ∈ s, t.toSubsemigroup- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
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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
- iInfstatement · cited by 1,690
- InfSet.sInfstatement · cited by 935
- NonUnitalNonAssocRingstatement and proof · cited by 354
- Subsemigroupstatement · cited by 323
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalSubring.toSubsemigroupstatement · cited by 8
- NonUnitalSubring.mk'_toSubsemigroupproof · cited by 1
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