| import OAI.MathematicalPhysics.Transonic.Profile.Equations | |
| import OAI.MathematicalPhysics.Transonic.Shooting.SourceFamilyJets | |
| namespace OAI | |
| noncomputable section | |
| namespace SepticProfile | |
| namespace SourceFamily | |
| lemma source_q (p : Parameter) : SepticProfile.q (ShootingParameters.beta p.val)=ShootingParameters.q p.val := by | |
| rw [(ShootingParameters.parameter_identities p.property).1] | |
| unfold SepticProfile.q ell | |
| ring | |
| lemma source_sigma (p : Parameter) : SepticProfile.sigma (ShootingParameters.beta p.val)=sig p := by | |
| rw [SepticProfile.sigma,source_q] | |
| exact (ShootingParameters.parameter_identities p.property).2.1.symm | |
| lemma source_kappa (p : Parameter) : SepticProfile.kappa (ShootingParameters.beta p.val)=kap p := by | |
| rw [SepticProfile.kappa,source_q] | |
| exact (ShootingParameters.parameter_identities p.property).2.2.symm | |
| lemma source_q_pos (p : Parameter) : 0<SepticProfile.q (ShootingParameters.beta p.val) := by | |
| rw [source_q] | |
| unfold ShootingParameters.q | |
| exact div_pos (mul_pos (by norm_num) (ShootingParameters.e_pos p.property)) (ShootingParameters.d_pos p.property) | |
| end SourceFamily | |
| end SepticProfile | |
| end | |
| end OAI | |