Theorems · Theorem · logic and foundations
ZFSet.rank_powerset
∀ (x : ZFSet.{u_1}), x.powerset.rank = Order.succ x.rank- Defined in
- Mathlib.SetTheory.ZFC.Rank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement · cited by 1,688
- Order.succstatement · cited by 633
- ZFSetstatement and proof · cited by 259
- ZFSet.rankstatement · cited by 31
- ZFSet.powersetstatement · cited by 11
- PSet.rank_powersetproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZFSet.le_succ_rank_sUnionproof · cited by 0