Theorems · Theorem · group theory
neg_sub
∀ {α : Type u_1} [inst : SubtractionMonoid α] (a b : α), -(a - b) = b - a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 272 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 43 definitions · uses propext
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- neg_add_revproof · cited by 236
- SubtractionMonoidstatement and proof · cited by 208
Cited by272
Results whose statement or proof uses this declaration.
- norm_sub_revproof · cited by 41
- abs_sub_commproof · cited by 40
- intervalIntegral.integral_symmproof · cited by 35
- sub_sub_sub_cancel_rightproof · cited by 34
- intervalIntegral.integral_constproof · cited by 33
- sub_sub_sub_cancel_leftproof · cited by 23
- sub_add_cancel_leftproof · cited by 19
- sub_add_cancel_rightproof · cited by 17
- hasSum_geometric_of_lt_oneproof · cited by 14
- Complex.sinh_mul_Iproof · cited by 10
- slope_negproof · cited by 10
- slope_commproof · cited by 9
Showing the 200 most cited of 272.