Theorems · Theorem · group theory
Subgroup.ofUnits_iSup
∀ {M : Type u_1} [inst : Monoid M] {ι : Sort u_2} {f : ι → Subgroup Mˣ}, (iSup f).ofUnits = ⨆ i, (f i).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
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.
- 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
- GaloisConnection.l_iSupproof · cited by 78
- Subgroup.ofUnitsstatement · cited by 31
- ofUnits_units_gcproof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.