Theorems · Theorem · number theory
PythagoreanTriple.isPrimitiveClassified_of_coprime
∀ {x y z : ℤ} (h : PythagoreanTriple x y z), x.gcd y = 1 → h.IsPrimitiveClassified- Defined in
- Mathlib.NumberTheory.PythagoreanTriples
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 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.
- neg_negproof · cited by 960
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- lt_of_le_of_neproof · cited by 230
- PythagoreanTriplestatement and proof · cited by 24
- le_negproof · cited by 16
- PythagoreanTriple.IsPrimitiveClassifiedstatement · cited by 7
- PythagoreanTriple.eqproof · cited by 7
- PythagoreanTriple.isPrimitiveClassified_of_coprime_of_posproof · cited by 1
- PythagoreanTriple.ne_zero_of_coprimeproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- PythagoreanTriple.classifiedproof · cited by 1
- PythagoreanTriple.coprime_classificationproof · cited by 1