Theorems · Theorem · group theory
IsAddUnit.add_neg_cancel_left
∀ {α : Type u} [inst : SubtractionMonoid α] {a : α}, IsAddUnit a → ∀ (b : α), a + (-a + b) = b- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- SubtractionMonoid
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.
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- IsAddUnit.addUnit'proof · cited by 11
- AddUnits.add_neg_cancel_leftproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- IsAddUnit.sub_add_cancel_rightproof · cited by 2
- Finset.pluennecke_petridis_inequality_addproof · cited by 1
- IsAddUnit.add_sub_add_rightproof · cited by 1