Theorems · Theorem · logic and foundations
ZFSet.subset_iff
∀ {x y : PSet.{u_1}}, ZFSet.mk x ⊆ ZFSet.mk y ↔ x ⊆ y- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ZFSetstatement and proof · cited by 259
- PSetstatement and proof · cited by 107
- PSet.Equivproof · cited by 44
- PSet.Typeproof · cited by 34
- PSet.Funcproof · cited by 29
- ZFSet.mkstatement and proof · cited by 17
- PSet.Mem.mkproof · cited by 9
- PSet.Equiv.transproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ZFSet.mem_powersetproof · cited by 5
- ZFSet.empty_subsetproof · cited by 0