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theorem proved tactic proof

per_face_solid_angle_eq

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formal statement (Lean)

 139theorem per_face_solid_angle_eq :
 140    per_face_solid_angle = 2 * Real.pi / 3 := by

proof body

Tactic-mode proof.

 141  have h6 : (cube_faces D : ℝ) = 6 := by exact_mod_cast faces_at_D3
 142  simp only [per_face_solid_angle, solid_angle_Q3_eq, h6]; ring
 143
 144/-- Face solid angles reconstruct the total: 6 × (2π/3) = 4π. -/

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