Theorems · Theorem · number theory
PythagoreanTriple.coprime_of_coprime
∀ {x y z : ℤ}, PythagoreanTriple x y z → x.gcd y = 1 → y.gcd z = 1- Defined in
- Mathlib.NumberTheory.PythagoreanTriples
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 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.
- Nat.Primeproof · cited by 2,059
- sqproof · cited by 280
- PythagoreanTriplestatement and proof · cited by 24
- eq_sub_of_add_eqproof · cited by 21
- Int.natCast_dvdproof · cited by 16
- Dvd.dvd.mul_rightproof · cited by 15
- Nat.Prime.not_dvd_oneproof · cited by 13
- Nat.Prime.not_coprime_iff_dvdproof · cited by 9
- dvd_subproof · cited by 9
- Int.Prime.dvd_natAbs_of_coe_dvd_sqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- PythagoreanTriple.isPrimitiveClassified_of_coprime_of_odd_of_posproof · cited by 1
- PythagoreanTriple.isPrimitiveClassified_auxproof · cited by 1