Theorems · Theorem · group theory
Subgroup.ofUnits_sSup
∀ {M : Type u_1} [inst : Monoid M] (s : Set (Subgroup Mˣ)), (sSup s).ofUnits = ⨆ S ∈ s, S.ofUnits- 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 and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- iSupstatement · cited by 2,415
- SupSet.sSupstatement · cited by 954
- Subgroup.ofUnitsstatement · cited by 31
- GaloisConnection.l_sSupproof · cited by 19
- ofUnits_units_gcproof · cited by 11
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