Theorems · Theorem · number theory
frobeniusNumber_pair
∀ {m n : ℕ}, m.Coprime n → 1 < m → 1 < n → FrobeniusNumber (m * n - m - n) {m, n}The Chicken McNugget theorem stating that the Frobenius number
of positive numbers m and n is m * n - m - n.
- Defined in
- Mathlib.NumberTheory.FrobeniusNumber
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_addproof · cited by 586
- sub_eq_zeroproof · cited by 407
- Nat.cast_mulproof · cited by 309
- IsGreatestproof · cited by 112
- Nat.cast_subproof · cited by 54
- FrobeniusNumberstatement · cited by 3
- Nat.exists_add_mul_eq_of_gcd_dvd_of_mul_pred_leproof · cited by 3
- add_le_mulproof · cited by 2
- Nat.Coprime.mul_add_mul_ne_mulproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.