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theorem proved tactic proof

coronalTime_strictly_increasing

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formal statement (Lean)

  55theorem coronalTime_strictly_increasing (k : ℕ) :
  56    coronalTime k < coronalTime (k + 1) := by

proof body

Tactic-mode proof.

  57  rw [coronalTime_succ_ratio]
  58  have hk : 0 < coronalTime k := coronalTime_pos k
  59  have hphi_gt_one : (1 : ℝ) < phi := by
  60    have := Constants.phi_gt_onePointFive; linarith
  61  have : coronalTime k * 1 < coronalTime k * phi :=
  62    mul_lt_mul_of_pos_left hphi_gt_one hk
  63  simpa using this
  64

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