Theorems · Theorem · group theory
ofUnits_units_gc
∀ {M : Type u_1} [inst : Monoid M], GaloisConnection Subgroup.ofUnits Submonoid.units- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 3,593
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- GaloisConnectionstatement · cited by 253
- Submonoid.unitsstatement · cited by 40
- Subgroup.ofUnitsstatement · cited by 31
- GaloisCoinsertion.gcproof · cited by 22
- ofUnits_units_gciproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- Submonoid.units_iInfproof · cited by 0
- Subgroup.ofUnits_botproof · cited by 0
- Subgroup.ofUnits_iSupproof · cited by 0
- Subgroup.ofUnits_iSup₂proof · cited by 0
- Subgroup.ofUnits_infproof · cited by 0
- Submonoid.units_iInf₂proof · cited by 0
- Submonoid.units_infproof · cited by 0
- Submonoid.units_sInfproof · cited by 0
- Submonoid.units_topproof · cited by 0
- Subgroup.ofUnits_sSupproof · cited by 0
- ofUnits_le_iff_le_unitsproof · cited by 0