Theorems · Theorem · group theory
AddUnits.neg_add_cancel_right
∀ {α : Type u} [inst : AddMonoid α] (a : α) (b : AddUnits α), a + ↑(-b) + ↑b = a- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- add_zeroproof · cited by 2,707
- add_assocproof · cited by 746
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddUnits.neg_addproof · cited by 17
Cited by5
Results whose statement or proof uses this declaration.
- AddUnits.add_neg_eq_iff_eq_addproof · cited by 6
- AddUnits.addRightproof · cited by 3
- IsAddUnit.neg_add_cancel_rightproof · cited by 1
- AddUnits.eq_add_neg_iff_add_eqproof · cited by 1
- AddUnits.mk_addSemiconjByproof · cited by 0