Theorems · Theorem · logic and foundations
PSet.rank_insert
∀ (x y : PSet.{u_1}), (insert x y).rank = max (Order.succ x.rank) y.rank- Defined in
- Mathlib.SetTheory.ZFC.Rank
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_antisymmproof · cited by 2,068
- Ordinalstatement · cited by 1,688
- Order.succstatement and proof · cited by 633
- Order.succ_eq_add_oneproof · cited by 115
- PSetstatement and proof · cited by 107
- max_leproof · cited by 71
- PSet.Equivproof · cited by 44
- PSet.rankstatement and proof · cited by 16
- PSet.rank_lt_of_memproof · cited by 7
- LT.lt.succ_leproof · cited by 5
- PSet.rank_monoproof · cited by 3
- PSet.rank_congrproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ZFSet.rank_insertproof · cited by 2
- PSet.rank_singletonproof · cited by 1
- PSet.rank_pairproof · cited by 0