Theorems · Theorem · logic and foundations
Cardinal.isStrongLimit_iff
∀ (c : Cardinal.{u_1}), c.IsStrongLimit ↔ c ≠ 0 ∧ c.IsStrongPrelimit- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Cardinal.IsStrongLimitstatement and proof · cited by 16
- Cardinal.IsStrongPrelimitstatement and proof · cited by 11
- Cardinal.IsStrongLimit.casesOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.isStrongLimit_preBethproof · cited by 1