Theorems · Theorem · group theory
AddSubmonoid.leftNeg_le_isAddUnit
∀ {M : Type u_1} [inst : AddCommMonoid M] (S : AddSubmonoid M), S.leftNeg ≤ IsAddUnit.addSubmonoid M- Defined in
- Mathlib.GroupTheory.Submonoid.Inverses
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- add_commproof · cited by 1,535
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.leftNegstatement and proof · cited by 19
- IsAddUnit.addSubmonoidstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.fromLeftNeg_eq_iffproof · cited by 0