Theorems · Theorem · group theory
Set.neg_mem_neg
∀ {α : Type u_2} [inst : InvolutiveNeg α] {s : Set α} {a : α}, -a ∈ -s ↔ a ∈ s- Cited by
- 10 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- 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
- neg_negproof · cited by 960
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- Set.mem_negproof · cited by 23
Cited by10
Results whose statement or proof uses this declaration.
- IsOpen.add_closureproof · cited by 3
- MeasureTheory.convolution_integrand_bound_right_of_le_of_subsetproof · cited by 2
- Set.MapsTo.negproof · cited by 1
- vadd_singleton_mem_nhds_of_sigmaCompactproof · cited by 1
- IsCompactOperator.negproof · cited by 1
- balancedHull_subset_convexHull_union_negproof · cited by 1
- IsPathConnected.negproof · cited by 0
- isApproximateAddSubgroup_zeroproof · cited by 0
- JoinedIn.negproof · cited by 0