Theorems · Theorem · number theory
PythagoreanTriple.mul
∀ {x y z : ℤ}, PythagoreanTriple x y z → ∀ (k : ℤ), PythagoreanTriple (k * x) (k * y) (k * z)A triple is still a triple if you multiply x, y and z
by a constant k.
- Defined in
- Mathlib.NumberTheory.PythagoreanTriples
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PythagoreanTriplestatement and proof · cited by 24
- PythagoreanTriple.eqproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- PythagoreanTriple.isClassified_of_normalize_isPrimitiveClassifiedproof · cited by 1
- PythagoreanTriple.mul_iffproof · cited by 1
- PythagoreanTriple.mul_isClassifiedstatement · cited by 1