Theorems · Theorem · group theory
Finset.neg_filter
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : InvolutiveNeg α] (s : Finset α) (p : α → Prop)
[inst_2 : DecidablePred p], -{x ∈ s | p x} = {x ∈ -s | p (-x)}- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.filterstatement · cited by 949
- Finset.extproof · cited by 565
- Finset.mem_filterproof · cited by 185
- InvolutiveNegstatement and proof · cited by 151
- Finset.negstatement · cited by 63
- Finset.mem_neg'proof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Finset.le_card_quotient_add_sq_inter_addSubgroupproof · cited by 0
- Finset.neg_filter_univproof · cited by 0