pith. machine review for the scientific record. sign in
theorem proved term proof

harmonic_strict_mono

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

 102theorem harmonic_strict_mono (j k : DFTMode) (hjk : j.val < k.val) :
 103    harmonicFrequency j < harmonicFrequency k := by

proof body

Term-mode proof.

 104  unfold harmonicFrequency
 105  apply div_lt_div_of_pos_right _ (by norm_num : (8 : ℝ) > 0)
 106  apply mul_lt_mul_of_pos_right _ phi_pos
 107  · exact mul_lt_mul_of_pos_right (Nat.cast_lt.mpr hjk) (by norm_num)
 108

used by (1)

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

depends on (3)

Lean names referenced from this declaration's body.