Theorems · Theorem · number theory
Irrational.mul_cases
∀ {x y : ℝ}, Irrational (x * y) → Irrational x ∨ Irrational y- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 110 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
- Set.rangeproof · cited by 4,705
- Irrationalstatement · cited by 139
- Rat.cast_mulproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- Irrational.div_casesproof · cited by 3
- Irrational.of_mul_ratCastproof · cited by 3
- Irrational.of_mul_selfproof · cited by 0