Theorems · Theorem · commutative algebra
AddGroupWithOne.neg_add_cancel
∀ {R : Type u} [self : AddGroupWithOne R] (a : R), -a + a = 0- Defined in
- Mathlib.Data.Int.Cast.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoid.toZerostatement · cited by 325
- AddGroupWithOnestatement and proof · cited by 111
- AddGroupWithOne.toNegstatement · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Function.Surjective.ringproof · cited by 0
- Function.Injective.ringproof · cited by 0