Theorems · Theorem · number theory
Nat.dvd_factorial
∀ {m n : ℕ}, 0 < m → m ≤ n → m ∣ n.factorial- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.factorialstatement and proof · cited by 616
- Nat.factorial_dvd_factorialproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Nat.exists_infinite_primesproof · cited by 7
- Nat.coprime_factorial_iffproof · cited by 1
- Nat.prime_of_fac_equiv_neg_oneproof · cited by 1
- Nat.exists_prime_gt_modEq_oneproof · cited by 1
- Function.isPeriodicPt_factorial_card_of_mem_periodicPtsproof · cited by 1