Theorems · Definition · group theory
AddSubmonoid.addUnitsTypeEquivIsAddUnitAddSubmonoid
{M : Type u_4} → [inst : AddMonoid M] → AddUnits M ≃+ ↥(IsAddUnit.addSubmonoid M)The additive equivalence between the type of additive units of
M and the additive submonoid whose elements are the additive units of M.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddUnitsstatement and proof · cited by 325
- AddUnits.valproof · cited by 248
- IsAddUnit.addUnitproof · cited by 30
- IsAddUnit.addSubmonoidstatement and proof · cited by 16
- AddUnits.isAddUnitproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- AddSubmonoid.addUnitsEquivIsAddUnitAddSubmonoidproof · cited by 0
- AddSubmonoid.addUnitsTypeEquivIsAddUnitAddSubmonoid_apply_coestatement and proof · cited by 0
- AddSubmonoid.val_addUnitsTypeEquivIsAddUnitAddSubmonoid_symm_applystatement and proof · cited by 0
- AddSubmonoid.val_neg_addUnitsTypeEquivIsAddUnitAddSubmonoid_symm_applystatement and proof · cited by 0