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theorem proved term proof

dAlembert_contDiff_smooth

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formal statement (Lean)

 165private theorem dAlembert_contDiff_smooth (H : ℝ → ℝ) (h_one : H 0 = 1) (h_cont : Continuous H)
 166    (h_dAl : ∀ t u, H (t + u) + H (t - u) = 2 * H t * H u) :
 167    ContDiff ℝ smooth H :=

proof body

Term-mode proof.

 168  contDiff_infty.mpr (dAlembert_contDiff_nat H h_one h_cont h_dAl)
 169
 170/-! ## Phase 2: General ODE Derivation -/
 171

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