Theorems · Theorem · number theory
Irrational.sub_ratCast
∀ (q : ℚ) {x : ℝ}, Irrational x → Irrational (x - ↑q)- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 114 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
- Rat.cast_negproof · cited by 25
- Irrational.add_ratCastproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Irrational.sub_intCastproof · cited by 2
- irrational_sub_ratCast_iffproof · cited by 0