Theorems · Theorem · number theory
Irrational.intCast_add
∀ {x : ℝ}, Irrational x → ∀ (m : ℤ), Irrational (↑m + x)- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 3 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
- Irrationalstatement and proof · cited by 139
- Rat.cast_intCastproof · cited by 74
- Irrational.ratCast_addproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Irrational.add_intCastproof · cited by 2
- Irrational.natCast_addproof · cited by 1
- irrational_intCast_add_iffproof · cited by 0