Theorems · Definition · group theory
IsAddUnit.addSubmonoid
(M : Type u_4) → [inst : AddMonoid M] → AddSubmonoid M
The additive submonoid consisting of the additive units of an additive monoid
- Defined in
- Mathlib.Algebra.Group.Submonoid.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- IsAddUnitproof · cited by 215
Cited by19
Results whose statement or proof uses this declaration.
- AddSubmonoid.leftNegEquivstatement and proof · cited by 8
- AddSubmonoid.addUnitsTypeEquivIsAddUnitAddSubmonoidstatement and proof · cited by 3
- AddSubmonoid.leftNegEquiv_applystatement and proof · cited by 2
- AddSubmonoid.add_leftNegEquiv_symmstatement and proof · cited by 1
- AddSubmonoid.leftNegEquiv_addstatement and proof · cited by 1
- IsAddUnit.addSubmonoid.coe_negstatement and proof · cited by 1
- AddSubmonoid.leftNeg_le_isAddUnitstatement and proof · cited by 1
- AddSubmonoid.add_leftNegEquivstatement and proof · cited by 1
- AddSubmonoid.val_addUnitsTypeEquivIsAddUnitAddSubmonoid_symm_applystatement and proof · cited by 0
- AddSubmonoid.leftNegEquiv_symm_addstatement and proof · cited by 0
- AddSubmonoid.leftNegEquiv_symm_eq_negstatement and proof · cited by 0
- AddSubmonoid.leftNegEquiv_symm_fromLeftNegstatement and proof · cited by 0