Theorems · Theorem · group theory
Submonoid.units_sInf
∀ {M : Type u_1} [inst : Monoid M] {s : Set (Submonoid M)}, (sInf s).units = ⨅ S ∈ s, S.units- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
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Cites10
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
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- Unitsstatement · cited by 2,804
- iInfstatement · cited by 1,690
- InfSet.sInfstatement · cited by 935
- Submonoid.unitsstatement · cited by 40
- GaloisConnection.u_sInfproof · cited by 11
- ofUnits_units_gcproof · cited by 11
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