Theorems · Theorem · number theory
Rat.div_int_inj
∀ {a b c d : ℤ},
0 < b → 0 < d → a.natAbs.Coprime b.natAbs → c.natAbs.Coprime d.natAbs → ↑a / ↑b = ↑c / ↑d → a = c ∧ b = d- Defined in
- Mathlib.Data.Rat.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Rat.den_div_eq_of_coprimeproof · cited by 3
- Rat.num_div_eq_of_coprimeproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- PythagoreanTriple.isPrimitiveClassified_of_coprime_of_odd_of_posproof · cited by 1
- PythagoreanTriple.isPrimitiveClassified_auxproof · cited by 1