Theorems · Theorem · group theory
Subgroup.units_ofUnits_eq
∀ {M : Type u_1} [inst : Monoid M] (S : Subgroup Mˣ), S.ofUnits.units = S- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- SetLike.coeproof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Subgroupstatement and proof · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Submonoid.comapproof · cited by 179
- Subgroup.toSubmonoidproof · cited by 114
- Subgroup.extproof · cited by 108
- Units.extproof · cited by 86
- Units.coeHomproof · cited by 44
- Subgroup.inv_memproof · cited by 40
- Submonoid.unitsstatement and proof · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- ofUnits_units_gciproof · cited by 10