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theorem proved term proof

zeroCompositionLaw_forces_cosh

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formal statement (Lean)

  57theorem zeroCompositionLaw_forces_cosh (zc : ZeroCompositionLaw) :
  58    ∀ t : ℝ, zc.H t = Real.cosh t :=

proof body

Term-mode proof.

  59  dAlembert_cosh_solution zc.H zc.H_zero zc.continuous zc.dAlembert
  60    zc.curvature zc.smooth_hyp zc.ode_hyp zc.cont_hyp zc.diff_hyp
  61    zc.bootstrap_hyp
  62
  63/-- Consequently, the minimum value `1` occurs exactly at `t = 0`. -/

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