Theorems · Theorem · group theory
AddSubgroup.ofAddUnits_sSup
∀ {M : Type u_1} [inst : AddMonoid M] (s : Set (AddSubgroup (AddUnits M))), (sSup s).ofAddUnits = ⨆ S ∈ s, S.ofAddUnits- 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 and proof · cited by 3,232
- AddMonoidstatement and proof · cited by 2,864
- iSupstatement · cited by 2,415
- AddSubmonoidstatement · cited by 1,178
- SupSet.sSupstatement · cited by 954
- AddUnitsstatement and proof · cited by 325
- AddSubgroup.ofAddUnitsstatement · cited by 30
- GaloisConnection.l_sSupproof · cited by 19
- ofAddUnits_addUnits_gcproof · cited by 11
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