lemma proved tactic proof

`phi_gt_1_6`

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formal statement (Lean)

  20private lemma phi_gt_1_6 : (1.6 : ℝ) < Constants.phi := by

proof body

Tactic-mode proof.

  21  unfold Constants.phi
  22  have h : (1.6 : ℝ) = (1 + 2.2) / 2 := by norm_num
  23  rw [h]
  24  apply div_lt_div_of_pos_right _ (by norm_num : (0 : ℝ) < 2)
  25  linarith [sqrt5_gt_2_2]
  26

used by (4)

From the project-wide theorem graph. These declarations reference this one in their body.

ml_is_phi_power in IndisputableMonolith.Derivations.MassToLight decl_use
phi_10_bounds in IndisputableMonolith.Derivations.MassToLight decl_use
phi_gt_1_6 in IndisputableMonolith.Derivations.MassToLight decl_use
phi_bounds_stub in IndisputableMonolith.Support.PhiApprox decl_use

depends on (3)

Lean names referenced from this declaration's body.

Constants in IndisputableMonolith.CPM.LawOfExistence decl_use
phi_gt_1_6 in IndisputableMonolith.Derivations.MassToLight decl_use
sqrt5_gt_2_2 in IndisputableMonolith.Support.PhiApprox decl_use