Theorems · Theorem · number theory
Irrational.of_mul_intCast
∀ {x : ℝ} (m : ℤ), Irrational (x * ↑m) → Irrational x- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Irrationalstatement and proof · cited by 139
- Rat.cast_intCastproof · cited by 74
- Irrational.of_mul_ratCastproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Irrational.of_mul_natCastproof · cited by 0