Theorems · Theorem · group theory
Set.neg_subset
∀ {α : Type u_2} [inst : InvolutiveNeg α] {s t : Set α}, -s ⊆ t ↔ s ⊆ -t- Cited by
- 6 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, 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
- neg_negproof · cited by 960
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- Set.neg_subset_negproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Submodule.neg_leproof · cited by 3
- Submodule.span_neg_eq_negproof · cited by 1
- AddSubmonoid.closure_negproof · cited by 1
- AddSubmonoid.neg_leproof · cited by 1
- Set.neg_eq_self_iff_neg_subsetproof · cited by 0
- MeasureTheory.Measure.haar.addCHaar_sup_eqproof · cited by 0