Theorems · Theorem · number theory
Irrational.of_ratCast_sub
∀ (q : ℚ) {x : ℝ}, Irrational (↑q - x) → Irrational x- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 2 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.
Cites5
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
- sub_eq_add_negproof · cited by 1,023
- Irrationalstatement and proof · cited by 139
- Irrational.of_ratCast_addproof · cited by 5
- Irrational.of_negproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Irrational.of_intCast_subproof · cited by 2
- irrational_ratCast_sub_iffproof · cited by 0