Theorems · Theorem · ring theory
NonUnitalSubsemiring.sInf_toSubsemigroup
∀ {R : Type u} [inst : NonUnitalNonAssocSemiring R] (s : Set (NonUnitalSubsemiring R)),
(sInf s).toSubsemigroup = ⨅ t ∈ s, t.toSubsemigroup- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- InfSet.sInfstatement · cited by 935
- Subsemigroupstatement · cited by 323
- NonUnitalSubsemiringstatement and proof · cited by 201
- NonUnitalSubsemiring.toSubsemigroupstatement · cited by 12
- NonUnitalSubsemiring.mk'_toSubsemigroupproof · cited by 1
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