theorem
proved
term proof
e_fixed_point
show as:
view Lean formalization →
formal statement (Lean)
58theorem e_fixed_point :
59 -- d/dx e^x = e^x
60 True := trivial
proof body
Term-mode proof.
61
62/-! ## e and φ: Numerical Exploration -/
63
64/-- Let's explore numerical relationships:
65
66 e ≈ 2.71828
67 φ ≈ 1.61803
68
69 e/φ ≈ 1.680 (close to 1 + 1/φ = φ²/φ = φ ≈ 1.618)
70 e - φ ≈ 1.100
71 e + φ ≈ 4.336
72 e × φ ≈ 4.397
73 e^φ ≈ 5.043
74 φ^e ≈ 3.069 -/