Theorems · Theorem · logic and foundations
Cardinal.aleph0_le_of_isSuccLimit
∀ {c : Cardinal.{u_1}}, Order.IsSuccLimit c → Cardinal.aleph0 ≤ c- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.aleph0statement and proof · cited by 521
- Order.IsSuccLimitstatement and proof · cited by 255
- Cardinal.not_isSuccLimit_of_lt_aleph0proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.IsStrongLimit.aleph0_leproof · cited by 2