refactor: Remove double empty lines

This commit is contained in:
jstoobysmith 2024-07-03 07:56:30 -04:00
parent ae18a2196d
commit f03d063c86
60 changed files with 0 additions and 232 deletions

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@ -18,7 +18,6 @@ To define `toSols` we define a series of other maps from various subtypes of
`MSSMACC.AnomalyFreePerp × × × ` to `MSSMACC.Sols`. And show that these maps form a
surjection on certain subtypes of `MSSMACC.Sols`.
# References
The main reference for the material in this file is:
@ -78,7 +77,6 @@ lemma linEqPropSol_iff_proj_linEqProp (R : MSSMACC.Sols) :
rw [h.2.2]
simp
/-- A condition which is satisfied if the plane spanned by `R`, `Y₃` and `B₃` lies
entirely in the quadratic surface. -/
def InQuadProp (R : MSSMACC.AnomalyFreePerp) : Prop :=
@ -237,7 +235,6 @@ not surjective. -/
def toSolNS : MSSMACC.AnomalyFreePerp × × × → MSSMACC.Sols := fun (R, a, _ , _) =>
a • AnomalyFreeMk'' (toSolNSQuad R) (toSolNSQuad_cube R)
/-- A map from `Sols` to `MSSMACC.AnomalyFreePerp × × × ` which on elements of
`notInLineEqSol` will produce a right inverse to `toSolNS`. -/
def toSolNSProj (T : MSSMACC.Sols) : MSSMACC.AnomalyFreePerp × × × :=
@ -457,7 +454,6 @@ theorem toSol_surjective : Function.Surjective toSol := by
simp at h₃
exact toSol_inQuadCube ⟨T, And.intro h₁ (And.intro h₂ h₃)⟩
end AnomalyFreePerp
end MSSMACC