theorem
proved
term proof
rational_root_theorem_for_phi
show as:
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formal statement (Lean)
96theorem rational_root_theorem_for_phi :
97 (1 : ℝ)^2 - 1 - 1 ≠ 0 ∧ ((-1 : ℝ))^2 - (-1) - 1 ≠ 0 := by
proof body
Term-mode proof.
98 constructor <;> norm_num
99
100/-- **THEOREM IC-002.7**: There is no finite-precision algorithm that exactly computes
101 φ in the sense that any rational number differs from φ. -/