Theorems · Theorem · group theory
AddSubmonoid.addUnits_sInf
∀ {M : Type u_1} [inst : AddMonoid M] {s : Set (AddSubmonoid M)}, (sInf s).addUnits = ⨅ S ∈ s, S.addUnits- 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
- AddMonoid
Around this declaration
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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
- AddSubgroupstatement · cited by 3,232
- AddMonoidstatement and proof · cited by 2,864
- iInfstatement · cited by 1,690
- AddSubmonoidstatement and proof · cited by 1,178
- InfSet.sInfstatement · cited by 935
- AddUnitsstatement · cited by 325
- AddSubmonoid.addUnitsstatement · cited by 32
- GaloisConnection.u_sInfproof · cited by 11
- ofAddUnits_addUnits_gcproof · cited by 11
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