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Theorems · Theorem · number theory

PythagoreanTriple.eq

∀ {x y z : ℤ}, PythagoreanTriple x y z → x * x + y * y = z * z
Defined in
Mathlib.NumberTheory.PythagoreanTriples
Cited by
7 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PythagoreanTriple.mul · cited by 3PythagoreanTriple.mulPythagoreanTriple.isPrimitiveClassified_of_coprime · cited by 2PythagoreanTriple.isPrimi…PythagoreanTriple.gcd_dvd · cited by 2PythagoreanTriple.gcd_dvdPythagoreanTriple.coprime_classification · cited by 1PythagoreanTriple.coprime…PythagoreanTriple.ne_zero_of_coprime · cited by 1PythagoreanTriple.ne_zero…PythagoreanTriple.even_odd_of_coprime · cited by 1PythagoreanTriple.even_od…PythagoreanTriple.classification · cited by 0PythagoreanTriple.classif…PythagoreanTriple · cited by 24PythagoreanTriplePythagoreanTriple.eqCITED BYCITES

Cites1

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Cited by7

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