Theorems · Theorem · logic and foundations
Cardinal.nat_is_prime_iff
∀ {n : ℕ}, Prime ↑n ↔ Nat.Prime n- Defined in
- Mathlib.SetTheory.Cardinal.Divisibility
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 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
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Nat.Primestatement · cited by 2,059
- IsUnitproof · cited by 1,602
- Cardinal.aleph0proof · cited by 521
- Primestatement · cited by 277
- lt_or_geproof · cited by 182
- mul_eq_zeroproof · cited by 94
- Cardinal.natCast_lt_aleph0proof · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.isPrimePow_iffproof · cited by 1