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

z_relative_error

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)

 109theorem z_relative_error :
 110    |z_pred - m_Z_exp| / m_Z_exp < 0.0013 := by

proof body

Tactic-mode proof.

 111  have hb := z_mass_bounds
 112  have hexp_pos : (0 : ℝ) < m_Z_exp := by unfold m_Z_exp; norm_num
 113  rw [div_lt_iff₀ hexp_pos, abs_lt]
 114  unfold m_Z_exp
 115  constructor <;> nlinarith [hb.1, hb.2]
 116
 117/-! ## W Boson Mass — Z × cos(θ_W)
 118
 119m_W = m_Z × cos(θ_W) where cos²(θ_W) = (3+φ)/6 -/
 120

used by (1)

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

depends on (12)

Lean names referenced from this declaration's body.