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refactor: Change namespace of SL2C

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jstoobysmith 2024-11-10 06:48:04 +00:00
parent d058f41689
commit 6c17a61989
12 changed files with 11 additions and 22 deletions
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4
HepLean/Lorentz/Weyl/Basic.lean
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@ -207,7 +207,7 @@ def leftHandedToAlt : leftHanded ⟶ altLeftHanded where
change AltLeftHandedModule.toFin2ℂEquiv.symm (!![0, 1; -1, 0] *ᵥ M.1 *ᵥ ψ.val) =
AltLeftHandedModule.toFin2ℂEquiv.symm ((M.1⁻¹)ᵀ *ᵥ !![0, 1; -1, 0] *ᵥ ψ.val)
apply congrArg
rw [mulVec_mulVec, mulVec_mulVec, SpaceTime.SL2C.inverse_coe, eta_fin_two M.1]
rw [mulVec_mulVec, mulVec_mulVec, Lorentz.SL2C.inverse_coe, eta_fin_two M.1]
refine congrFun (congrArg _ ?_) _
rw [SpecialLinearGroup.coe_inv, Matrix.adjugate_fin_two,
Matrix.mul_fin_two, eta_fin_two !![M.1 1 1, -M.1 0 1; -M.1 1 0, M.1 0 0]ᵀ]
@ -238,7 +238,7 @@ def leftHandedAltTo : altLeftHanded ⟶ leftHanded where
refine LinearMap.ext (fun ψ => ?_)
change LeftHandedModule.toFin2ℂEquiv.symm (!![0, -1; 1, 0] *ᵥ (M.1⁻¹)ᵀ *ᵥ ψ.val) =
LeftHandedModule.toFin2ℂEquiv.symm (M.1 *ᵥ !![0, -1; 1, 0] *ᵥ ψ.val)
rw [EquivLike.apply_eq_iff_eq, mulVec_mulVec, mulVec_mulVec, SpaceTime.SL2C.inverse_coe,
rw [EquivLike.apply_eq_iff_eq, mulVec_mulVec, mulVec_mulVec, Lorentz.SL2C.inverse_coe,
eta_fin_two M.1]
refine congrFun (congrArg _ ?_) _
rw [SpecialLinearGroup.coe_inv, Matrix.adjugate_fin_two,