theorem
proved
dihedralAngleCert
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IndisputableMonolith.Geometry.DihedralAngle on GitHub at line 171.
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formal source
168 theta_in_range : ∀ d : DihedralAngleData, 0 ≤ d.theta ∧ d.theta ≤ Real.pi
169 cos_theta_eq : ∀ d : DihedralAngleData, Real.cos d.theta = d.cosine
170
171theorem dihedralAngleCert : DihedralAngleCert where
172 cube_is_right_angle := cube_dihedral_theta
173 regular_tet_in_range := regular_tet_dihedral_in_open_interval
174 cubic_flat_sum := cubic_lattice_flatSum
175 cubic_deficit_zero := cubic_lattice_deficit_zero
176 theta_in_range := fun d => ⟨theta_nonneg d, theta_le_pi d⟩
177 cos_theta_eq := cos_theta
178
179end
180
181end DihedralAngle
182end Geometry
183end IndisputableMonolith