Theorems · Theorem · number theory
Irrational.add_ratCast
∀ (q : ℚ) {x : ℝ}, Irrational x → Irrational (x + ↑q)- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 2 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.
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
- add_commproof · cited by 1,535
- Irrationalstatement and proof · cited by 139
- Irrational.ratCast_addproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Irrational.sub_ratCastproof · cited by 2
- irrational_add_ratCast_iffproof · cited by 0