Theorems · Theorem · number theory
Fermat42.coprime_of_minimal
∀ {a b c : ℤ}, Fermat42.Minimal a b c → IsCoprime a ba minimal solution to a ^ 4 + b ^ 4 = c ^ 2 must have a and b coprime.
- Defined in
- Mathlib.NumberTheory.FLT.Four
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 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.
- Nat.Primeproof · cited by 2,059
- IsCoprimestatement · cited by 321
- two_ne_zeroproof · cited by 251
- Nat.Prime.one_ltproof · cited by 118
- Nat.Prime.ne_zeroproof · cited by 109
- Dvd.introproof · cited by 26
- Int.isCoprime_iff_gcd_eq_oneproof · cited by 16
- Int.natCast_dvdproof · cited by 16
- Fermat42proof · cited by 9
- Nat.Prime.not_coprime_iff_dvdproof · cited by 9
- Fermat42.Minimalstatement and proof · cited by 8
- lt_mul_iff_one_lt_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Fermat42.not_minimalproof · cited by 1
- Fermat42.exists_odd_minimalproof · cited by 1