lean_workbook_plus_36113
ProvedFind real positive numbers and that satisfy and both and are integers.
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_36113 (x y : ℝ) (h₁ : x^3 - y^3 = 100) (h₂ : ∃ k : ℤ, x - y = k) (h₃ : ∃ k : ℤ, x*y = k) : ∃ x y : ℝ, x^3 - y^3 = 100 ∧ ∃ k : ℤ, x - y = k ∧ ∃ k : ℤ, x*y = k := by sorry
Source