Theorems · Theorem · number theory
Irrational.natCast_add
∀ {x : ℝ}, Irrational x → ∀ (m : ℕ), Irrational (↑m + x)- Defined in
- Mathlib.NumberTheory.Real.Irrational
- Cited by
- 1 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.
Cites3
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
- Irrational.intCast_addproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- irrational_natCast_add_iffproof · cited by 0