Theorems · Theorem · logic and foundations
Cardinal.isSuccLimit_ord
∀ {c : Cardinal.{u_1}}, Cardinal.aleph0 ≤ c → Order.IsSuccLimit c.ord- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- LT.lt.ne'proof · cited by 1,417
- LT.lt.trans_leproof · cited by 678
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.ordstatement and proof · cited by 266
- Order.IsSuccLimitstatement and proof · cited by 255
- Ordinal.cardproof · cited by 122
- Order.succ_eq_add_oneproof · cited by 115
- bot_eq_zero'proof · cited by 92
- Cardinal.ord_leproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- Cardinal.mul_eq_selfproof · cited by 13
- Cardinal.isRegular_succproof · cited by 6
- Cardinal.IsInaccessible.preBeth_ordproof · cited by 3
- Cardinal.noMaxOrderproof · cited by 3
- Cardinal.lt_power_cof_ordproof · cited by 2
- Cardinal.derivFamily_lt_ord_liftproof · cited by 2
- Cardinal.isSuccLimit_omegaproof · cited by 2
- Cardinal.mk_bounded_subsetproof · cited by 1
- Ordinal.IsFundamentalSeq.iSup_eqproof · cited by 0
- Cardinal.mk_subset_mk_lt_cofproof · cited by 0