Theorems · Theorem · group theory
Set.inter_neg
∀ {α : Type u_2} [inst : Neg α] {s t : Set α}, -(s ∩ t) = -s ∩ -t- Cited by
- 11 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Neg
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.
- Setstatement and proof · cited by 53,352
- Set.negstatement · cited by 168
- Set.preimage_interproof · cited by 25
Cited by11
Results whose statement or proof uses this declaration.
- Set.neg_Iccproof · cited by 6
- Set.neg_Iooproof · cited by 4
- exists_closed_nhds_zero_neg_eq_add_subsetproof · cited by 3
- Set.neg_Icoproof · cited by 2
- Set.neg_Iocproof · cited by 2
- IsTopologicalAddGroup.exists_addNegClosureNhdproof · cited by 1
- Set.nonempty_image_addLeft_neg_inter_iffproof · cited by 1
- Set.nonempty_image_addRight_neg_inter_iffproof · cited by 0
- IsApproximateAddSubgroup.nsmul_inter_nsmulproof · cited by 0
- AddSubmonoid.neg_infproof · cited by 0
- Finset.neg_interproof · cited by 0