Theorems · Theorem · number theory
Nat.minFacAux_has_prop
∀ {n : ℕ}, 2 ≤ n → ∀ (k i : ℕ), k = 2 * i + 3 → (∀ (m : ℕ), 2 ≤ m → m ∣ n → k ≤ m) → Nat.minFacProp✝ n (n.minFacAux k)- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Nat.Primeproof · cited by 2,059
- le_rflproof · cited by 1,558
- lt_of_lt_of_leproof · cited by 438
- le_of_eqproof · cited by 366
- add_right_commproof · cited by 85
- dvd_rflproof · cited by 80
- not_lt_of_geproof · cited by 52
- Nat.sqrt_ltproof · cited by 11
- Nat.minFacAuxstatement and proof · cited by 9
- dvd_of_mul_right_dvdproof · cited by 5
- Nat.dvd_prime_two_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.minFac_has_propproof · cited by 4