Theorems · Theorem · logic and foundations
Cardinal.IsStrongPrelimit.isSuccPrelimit
∀ {c : Cardinal.{u_1}}, c.IsStrongPrelimit → Order.IsSuccPrelimit c- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- LE.le.trans_ltproof · cited by 795
- Order.IsSuccPrelimitstatement · cited by 157
- Order.succ_le_of_ltproof · cited by 42
- Cardinal.cantorproof · cited by 12
- Cardinal.IsStrongPrelimitstatement and proof · cited by 11
- Order.isSuccPrelimit_of_succ_ltproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.IsStrongLimit.isSuccLimitproof · cited by 3