Theorems · Theorem · logic and foundations
PSet.rank_lt_of_mem
∀ {x y : PSet.{u_1}}, y ∈ x → y.rank < x.rank- Defined in
- Mathlib.SetTheory.ZFC.Rank
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- PSetstatement and proof · cited by 107
- PSet.Equivproof · cited by 44
- PSet.Typeproof · cited by 34
- PSet.Funcproof · cited by 29
- Order.succ_le_iffproof · cited by 20
- Ordinal.le_iSupproof · cited by 19
- PSet.rankstatement and proof · cited by 16
- PSet.rank_congrproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- ZFSet.rank_lt_of_memproof · cited by 8
- PSet.rank_insertproof · cited by 3
- PSet.rank_le_iffproof · cited by 3
- PSet.rank_monoproof · cited by 3
- PSet.rank_powersetproof · cited by 2
- PSet.rank_sUnion_leproof · cited by 0
- PSet.rank_eq_wfRankproof · cited by 0