Theorems · Theorem · logic and foundations
ZFSet.lift_card_range_le
∀ {α : Type u} [inst : Small.{v, u} α] {f : α → ZFSet.{v}},
Cardinal.lift.{u, v} (ZFSet.range f).card ≤ Cardinal.lift.{v, u} (Cardinal.mk α)- Defined in
- Mathlib.SetTheory.ZFC.Cardinal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftstatement and proof · cited by 583
- Smallstatement and proof · cited by 369
- ZFSetstatement and proof · cited by 259
- Cardinal.lift_leproof · cited by 78
- Cardinal.lift_umaxproof · cited by 56
- Cardinal.lift_liftproof · cited by 53
- ZFSet.cardstatement and proof · cited by 16
- Cardinal.mk_range_le_liftproof · cited by 15
- ZFSet.cardinalMk_coe_sortproof · cited by 7
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