Theorems · Theorem · order theory
Set.compl_ofPred
∀ {α : Type u_3} (p : α → Prop), {a | p a}ᶜ = {a | ¬p a}- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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 · cited by 53,352
- Set.ofPredstatement · cited by 6,101
- Compl.complstatement · cited by 2,925
Cited by4
Results whose statement or proof uses this declaration.
- Set.Definable.complproof · cited by 3
- MeasureTheory.integral_norm_eq_pos_sub_negproof · cited by 1
- isCountablyCompact_iff_infinite_subset_has_accPtproof · cited by 0
- Set.compl_setOfproof · cited by 0