Theorems · Theorem · logic and foundations
Cardinal.not_isSingular_succ
∀ (c : Cardinal.{u_1}), ¬(Order.succ c).IsSingular- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Order.succstatement and proof · cited by 633
- Cardinal.aleph0proof · cited by 521
- LE.le.not_gtproof · cited by 189
- lt_or_geproof · cited by 182
- Nat.cast_add_oneproof · cited by 56
- Cardinal.natCast_lt_aleph0proof · cited by 47
- Cardinal.IsSingularstatement and proof · cited by 21
- Cardinal.lt_aleph0proof · cited by 19
- Cardinal.succ_natCastproof · cited by 9
- Cardinal.isRegular_succproof · cited by 6
- Cardinal.IsRegular.not_isSingularproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.IsSingular.isSuccLimitproof · cited by 0