Theorems · Theorem · number theory
PythagoreanTriple.isPrimitiveClassified_of_coprime_of_odd_of_pos
∀ {x y z : ℤ} (h : PythagoreanTriple x y z), x.gcd y = 1 → y % 2 = 1 → 0 < z → h.IsPrimitiveClassified- Defined in
- Mathlib.NumberTheory.PythagoreanTriples
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Set.ofPredproof · cited by 6,101
- mul_oneproof · cited by 3,885
- Equiv.symmproof · cited by 3,681
- one_mulproof · cited by 2,841
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- one_ne_zeroproof · cited by 885
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- zero_lt_oneproof · cited by 598
- one_powproof · cited by 521
Cited by1
Results whose statement or proof uses this declaration.
- PythagoreanTriple.isPrimitiveClassified_of_coprime_of_posproof · cited by 1