Theorems · Theorem · logic and foundations
Cardinal.prime_of_aleph0_le
∀ {a : Cardinal.{u}}, Cardinal.aleph0 ≤ a → Prime a- Defined in
- Mathlib.SetTheory.Cardinal.Divisibility
- 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.
Cites16
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
- mul_commproof · cited by 2,262
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- LT.lt.trans_leproof · cited by 678
- Cardinal.aleph0statement and proof · cited by 521
- le_totalproof · cited by 294
- Primestatement · cited by 277
- mul_eq_zeroproof · cited by 94
- Cardinal.one_lt_aleph0proof · cited by 20
- Cardinal.aleph0_posproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.isPrimePow_iffproof · cited by 1