Theorems · Definition · number theory
PythagoreanTriple
ℤ → ℤ → ℤ → Prop
Three integers x, y, and z form a Pythagorean triple if x * x + y * y = z * z.
- Defined in
- Mathlib.NumberTheory.PythagoreanTriples
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by26
Results whose statement or proof uses this declaration.
- PythagoreanTriple.IsPrimitiveClassifiedstatement and proof · cited by 7
- PythagoreanTriple.eqstatement and proof · cited by 7
- PythagoreanTriple.IsClassifiedstatement and proof · cited by 4
- PythagoreanTriple.mulstatement and proof · cited by 3
- PythagoreanTriple.coprime_of_coprimestatement and proof · cited by 2
- PythagoreanTriple.gcd_dvdstatement and proof · cited by 2
- PythagoreanTriple.isPrimitiveClassified_of_coprimestatement and proof · cited by 2
- PythagoreanTriple.normalizestatement and proof · cited by 2
- Fermat42.not_minimalproof · cited by 1
- PythagoreanTriple.classifiedstatement and proof · cited by 1
- PythagoreanTriple.coprime_classificationstatement and proof · cited by 1
- PythagoreanTriple.coprime_classification'statement and proof · cited by 1