Theorems · Theorem · group theory
Set.image_neg_eq_neg
∀ {α : Type u_2} [inst : InvolutiveNeg α] {s : Set α}, (fun x => -x) '' s = -s- Cited by
- 52 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- InvolutiveNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.imagestatement · cited by 5,609
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- Set.image_eq_preimage_of_inverseproof · cited by 27
- neg_involutiveproof · cited by 11
- Function.Involutive.leftInverseproof · cited by 5
- Function.Involutive.rightInverseproof · cited by 4
Cited by52
Results whose statement or proof uses this declaration.
- Set.neg_singletonproof · cited by 14
- IsCompact.negproof · cited by 8
- Finset.coe_negproof · cited by 5
- Set.finite_negproof · cited by 3
- Set.image_const_sub_Iioproof · cited by 2
- Set.image_const_sub_Ioiproof · cited by 2
- infEDist_neg_negproof · cited by 2
- ODE_solution_unique_of_mem_Icc_leftproof · cited by 2
- Bornology.IsBounded.negproof · cited by 2
- csSup_negproof · cited by 2
- StarConvex.negproof · cited by 1
- LieModule.genWeightSpaceChain_negproof · cited by 1