Theorems · Theorem · number theory
Irrational.of_inv
∀ {x : ℝ}, Irrational x⁻¹ → Irrational x- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 5 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 and proof · cited by 139
- Rat.cast_invproof · cited by 22
Cited by5
Results whose statement or proof uses this declaration.
- Irrational.invproof · cited by 4
- Irrational.div_casesproof · cited by 3
- Irrational.of_ratCast_divproof · cited by 1
- irrational_inv_iffproof · cited by 0
- Irrational.of_zpowproof · cited by 0