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Theorems · Theorem · number theory

PythagoreanTriple.isPrimitiveClassified_of_coprime_of_pos

∀ {x y z : ℤ} (h : PythagoreanTriple x y z), x.gcd y = 1 → 0 < z → h.IsPrimitiveClassified
Defined in
Mathlib.NumberTheory.PythagoreanTriples
Cited by
1 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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PythagoreanTriple.isPrimitiveClassified_of_coprime · cited by 2PythagoreanTriple.isPrimi…PythagoreanTriple · cited by 24PythagoreanTriplePythagoreanTriple.IsPrimitiveClassified · cited by 7PythagoreanTriple.IsPrimi…PythagoreanTriple.isPrimitiveClassified_of_coprime_of_odd_of_pos · cited by 1PythagoreanTriple.isPrimi…PythagoreanTriple.symm · cited by 1PythagoreanTriple.symmPythagoreanTriple.even_odd_of_coprime · cited by 1PythagoreanTriple.even_od…PythagoreanTriple.isPrimitive…CITED BYCITES

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