Theorems · Theorem · number theory
Nat.Prime.dvd_primorial_iff
∀ {p n : ℕ}, Nat.Prime p → (p ∣ primorial n ↔ p ≤ n)- Defined in
- Mathlib.NumberTheory.Primorial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- LE.le.transproof · cited by 3,151
- Nat.Primestatement and proof · cited by 2,059
- Finset.rangeproof · cited by 1,341
- Finset.filterproof · cited by 949
- Nat.Prime.posproof · cited by 83
- primorialstatement and proof · cited by 26
- Finset.dvd_prod_of_memproof · cited by 23
- Nat.Prime.primeproof · cited by 19
- Prime.dvd_finsetProd_iffproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- lt_primorial_selfproof · cited by 1
- Nat.Prime.dvd_primorialproof · cited by 0