Theorems · Theorem · group theory
AddGroup.neg_add_cancel
∀ {A : Type u} [self : AddGroup A] (a : A), -a + a = 0- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddMonoid.toZerostatement · cited by 325
Cited by4
Results whose statement or proof uses this declaration.
- neg_add_cancelproof · cited by 256
- Function.Surjective.addGroupWithOneproof · cited by 0
- Equiv.addGroupWithOneproof · cited by 0
- Function.Injective.addGroupWithOneproof · cited by 0