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Theorems · Definition · number theory

PythagoreanTriple.IsClassified

{x y z : ℤ} → PythagoreanTriple x y z → Prop

A Pythagorean triple x, y, z is “classified” if there exist integers k, m, n such that either * x = k * (m ^ 2 - n ^ 2) and y = k * (2 * m * n), or * x = k * (2 * m * n) and y = k * (m ^ 2 - n ^ 2).

Defined in
Mathlib.NumberTheory.PythagoreanTriples
Cited by
4 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext
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PythagoreanTriple.classified · cited by 1PythagoreanTriple.classif…PythagoreanTriple.mul_isClassified · cited by 1PythagoreanTriple.mul_isC…PythagoreanTriple.isClassified_of_isPrimitiveClassified · cited by 1PythagoreanTriple.isClass…PythagoreanTriple.isClassified_of_normalize_isPrimitiveClassified · cited by 1PythagoreanTriple.isClass…PythagoreanTriple · cited by 24PythagoreanTriplePythagoreanTriple.IsClassifiedCITED BYCITES

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