OAI/Geometry/IsometricImmersion/Darboux/QPrincipal.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.SmoothLocal.HighEquation.qFirstCoefficient line 11
2. theorem OAI.SmoothLocal.HighEquation.qFirstCoefficient_contDiffOn line 14
3. theorem OAI.SmoothLocal.HighEquation.q_principal_discriminant line 20
4. theorem OAI.SmoothLocal.HighEquation.q_principal_discriminant_pos line 29
5. theorem OAI.SmoothLocal.HighEquation.q_xx_coefficient_pos_of_numerator_neg line 37
6. theorem OAI.SmoothLocal.HighEquation.q_mixed_coefficient_at_height line 50
7. theorem OAI.SmoothLocal.HighEquation.q_xx_coefficient_at_height line 62
8. theorem OAI.SmoothLocal.HighEquation.hessian_time_ratio line 83
9. theorem OAI.SmoothLocal.HighEquation.q_xx_coefficient_eq_neg_inv_time_ratio line 96
10. theorem OAI.SmoothLocal.HighEquation.q_xx_coefficient_at_height_pos line 107