Theorems · Theorem · group theory
neg_neg
∀ {G : Type u_1} [inst : InvolutiveNeg G] (a : G), - -a = a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 960 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
- Assumes
- InvolutiveNeg
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.
- InvolutiveNegstatement and proof · cited by 151
- InvolutiveNeg.neg_negproof · cited by 1
Cited by960
Results whose statement or proof uses this declaration.
- neg_subproof · cited by 272
- sub_neg_eq_addproof · cited by 264
- Int.cast_negproof · cited by 224
- Real.exp_posproof · cited by 169
- abs_mulproof · cited by 98
- abs_negproof · cited by 93
- norm_add_leproof · cited by 68
- sub_addproof · cited by 51
- neg_mem_iffproof · cited by 42
- neg_zsmulproof · cited by 41
- neg_mul_negproof · cited by 32
- neg_sqproof · cited by 31
Showing the 200 most cited of 960.