Theorems · Definition · logic and foundations
ZFSet.pairSep
(ZFSet.{u} → ZFSet.{u} → Prop) → ZFSet.{u} → ZFSet.{u} → ZFSet.{u}A subset of pairs {(a, b) ∈ x × y | p a b}
- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZFSetstatement and proof · cited by 259
- ZFSet.pairproof · cited by 12
- ZFSet.powersetproof · cited by 11
- ZFSet.sepproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ZFSet.prodproof · cited by 4
- ZFSet.mem_pairSepstatement · cited by 0