Theorems · Theorem · number theory
Irrational.div_ratCast
∀ {x : ℝ}, Irrational x → ∀ {q : ℚ}, q ≠ 0 → Irrational (x / ↑q)- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- div_eq_mul_invproof · cited by 715
- Irrationalstatement and proof · cited by 139
- inv_ne_zeroproof · cited by 99
- Rat.cast_invproof · cited by 22
- Irrational.mul_ratCastproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Irrational.div_intCastproof · cited by 1