Theorems · Theorem · group theory
Set.neg_singleton
∀ {α : Type u_2} [inst : InvolutiveNeg α] (a : α), -{a} = {-a}- Cited by
- 14 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InvolutiveNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.image_singletonproof · cited by 174
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- Set.image_neg_eq_negproof · cited by 52
Cited by14
Results whose statement or proof uses this declaration.
- ball_sub_singletonproof · cited by 4
- sphere_sub_singletonproof · cited by 4
- MeromorphicOn.meromorphicOn_comp_sub_const_iff_meromorphicOnproof · cited by 4
- MeromorphicOn.divisor_comp_sub_const_eq_divisorproof · cited by 4
- closedBall_sub_singletonproof · cited by 4
- meromorphicNFOn_comp_sub_const_iff_meromorphicNFOnproof · cited by 4
- MeasureTheory.SimpleFunc.setToSimpleFunc_subproof · cited by 2
- AddSubgroup.closure_singleton_negproof · cited by 1
- AddSubgroup.toAddSubmonoid_zmultiplesproof · cited by 1
- Set.neg_insertproof · cited by 0
- Set.zsmul_singletonproof · cited by 0
- Filter.neg_nhdsNEproof · cited by 0