Theorems · Theorem · logic and foundations
ZFSet.eq
∀ {x y : PSet.{u_1}}, ZFSet.mk x = ZFSet.mk y ↔ x.Equiv y- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
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.
- ZFSetstatement · cited by 259
- PSetstatement and proof · cited by 107
- Quotient.eqproof · cited by 50
- PSet.Equivstatement · cited by 44
- ZFSet.mkstatement · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- ZFSet.mem_insert_iffproof · cited by 4
- ZFSet.mem_singletonproof · cited by 2
- Ordinal.mem_toZFSet_iffproof · cited by 2