Theorems · Theorem · number theory
Rat.den_div_intCast_eq_one_iff
∀ (m n : ℤ), n ≠ 0 → ((↑m / ↑n).den = 1 ↔ n ∣ m)
- Defined in
- Mathlib.Data.Rat.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- eq_div_iffproof · cited by 38
- Dvd.intro_leftproof · cited by 20
- Rat.num_ne_zeroproof · cited by 5
- Rat.den_eq_one_iffproof · cited by 3
- Rat.intCast_divproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- map_wittStructureIntproof · cited by 13
- Rat.den_div_natCast_eq_one_iffproof · cited by 0