Theorems · Theorem · logic and foundations
ZFSet.rank_range
∀ {α : Type u_1} [inst : Small.{u, u_1} α] (f : α → ZFSet.{u}), (ZFSet.range f).rank = ⨆ i, Order.succ (f i).rank- Defined in
- Mathlib.SetTheory.ZFC.Rank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement and proof · cited by 2,415
- Ordinalstatement · cited by 1,688
- Order.succstatement · cited by 633
- Smallstatement and proof · cited by 369
- ZFSetstatement and proof · cited by 259
- Order.succ_eq_add_oneproof · cited by 115
- LE.le.antisymm'proof · cited by 104
- ZFSet.rankstatement and proof · cited by 31
- Ordinal.le_iSupproof · cited by 19
- Ordinal.iSup_leproof · cited by 18
- ZFSet.rangestatement and proof · cited by 6
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