Theorems · Theorem · logic and foundations
ZFSet.card_empty
∅.card = 0
- Defined in
- Mathlib.SetTheory.ZFC.Cardinal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkproof · cited by 942
- Cardinal.liftproof · cited by 583
- ZFSetstatement and proof · cited by 259
- Cardinal.lift_injproof · cited by 38
- Cardinal.mk_eq_zeroproof · cited by 27
- ZFSet.cardstatement · cited by 16
- Cardinal.lift_zeroproof · cited by 11
- ZFSet.cardinalMk_coe_sortproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ZFSet.card_singletonproof · cited by 1
- ZFSet.card_vonNeumannproof · cited by 0