Theorems · Theorem · logic and foundations
PSet.rank_singleton
∀ (x : PSet.{u_1}), {x}.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.
Cites8
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
- sup_of_le_leftproof · cited by 218
- Order.succ_eq_add_oneproof · cited by 115
- PSetstatement and proof · cited by 107
- PSet.rankstatement and proof · cited by 16
- PSet.rank_insertproof · cited by 3
- PSet.rank_emptyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PSet.rank_pairproof · cited by 0