Theorems · Theorem · logic and foundations
Cardinal.lift_zero
Cardinal.lift.{u_2, u_1} 0 = 0- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses Quot.sound
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.
- Cardinalstatement · cited by 2,598
- Cardinal.liftstatement · cited by 583
- Cardinal.mk_eq_zeroproof · cited by 27
Cited by11
Results whose statement or proof uses this declaration.
- Cardinal.lift_natCastproof · cited by 39
- Filter.EventuallyConst.of_monotone_of_lt_cofproof · cited by 3
- FirstOrder.Language.exists_elementaryEmbedding_card_eq_of_leproof · cited by 2
- MvPolynomial.cardinalMk_le_max_liftproof · cited by 2
- WType.cardinalMk_le_max_aleph0_of_finite'proof · cited by 2
- Ordinal.lift_card_iSup_le_sum_cardproof · cited by 2
- ZFSet.card_emptyproof · cited by 2
- Cardinal.lift_sInfproof · cited by 1
- FirstOrder.Language.card_constantsOnproof · cited by 1
- FirstOrder.Language.card_functions_sum_skolem₁_leproof · cited by 1
- Cardinal.lift_eq_zeroproof · cited by 0