Theorems · Theorem · group theory
sub_self
∀ {G : Type u_1} [inst : AddGroup G] (a : G), a - a = 0- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 996 results in Mathlib
- Foundations
- Depth 9 from the axioms, rests on 40 definitions · uses no axioms
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- sub_eq_add_negproof · cited by 1,023
- add_neg_cancelproof · cited by 213
Cited by996
Results whose statement or proof uses this declaration.
- sub_eq_zeroproof · cited by 407
- Complex.ofReal_subproof · cited by 63
- Complex.exp_zeroproof · cited by 43
- Complex.re_add_improof · cited by 41
- intervalIntegral.integral_sameproof · cited by 31
- Ideal.comap_map_of_surjectiveproof · cited by 30
- IsIdempotentElem.one_subproof · cited by 20
- isAlgebraic_algebraMapproof · cited by 19
- intervalIntegral.integral_zeroproof · cited by 16
- Asymptotics.IsEquivalent.reflproof · cited by 15
- Finset.sum_range_subproof · cited by 15
- IsPrimitiveRoot.isIntegralproof · cited by 15
Showing the 200 most cited of 996.