File size: 1,141 Bytes
caec230 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | 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
|