Theorems · Theorem · logic and foundations
Cardinal.IsStrongLimit.aleph0_le
∀ {c : Cardinal.{u_1}}, c.IsStrongLimit → Cardinal.aleph0 ≤ c- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 521
- Cardinal.IsStrongLimitstatement and proof · cited by 16
- Cardinal.IsStrongLimit.isSuccLimitproof · cited by 3
- Cardinal.aleph0_le_of_isSuccLimitproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.mk_bounded_subsetproof · cited by 1
- Cardinal.mk_subset_mk_lt_cofproof · cited by 0