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refactor: Linting substrings

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This commit is contained in:
jstoobysmith 2024-07-12 16:22:06 -04:00
parent cee38b7be8
commit ac1132c7ca
40 changed files with 133 additions and 132 deletions
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2
HepLean/AnomalyCancellation/MSSMNu/Basic.lean
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@ -76,7 +76,7 @@ def toSMSpecies (i : Fin 6) : MSSMCharges.Charges →ₗ[ℚ] MSSMSpecies.Charge
lemma toSMSpecies_toSpecies_inv (i : Fin 6) (f : (Fin 6 → Fin 3 → ℚ) × (Fin 2 → ℚ)) :
(toSMSpecies i) (toSpecies.symm f) = f.1 i := by
change (Prod.fst ∘ toSpecies ∘ toSpecies.symm ) _ i= f.1 i
change (Prod.fst ∘ toSpecies ∘ toSpecies.symm) _ i= f.1 i
simp
/-- The `Q` charges as a map `Fin 3 → ℚ`. -/

6
HepLean/AnomalyCancellation/MSSMNu/OrthogY3B3/Basic.lean
View file

@ -56,7 +56,7 @@ def proj (T : MSSMACC.LinSols) : MSSMACC.AnomalyFreePerp :=
lemma proj_val (T : MSSMACC.LinSols) :
(proj T).val = (dot B₃.val T.val - dot Y₃.val T.val) • Y₃.val +
( (dot Y₃.val T.val - 2 * dot B₃.val T.val)) • B₃.val +
(dot Y₃.val T.val - 2 * dot B₃.val T.val) • B₃.val +
dot Y₃.val B₃.val • T.val := by
rfl
@ -110,7 +110,7 @@ lemma quad_self_proj (T : MSSMACC.Sols) :
lemma quad_proj (T : MSSMACC.Sols) :
quadBiLin (proj T.1.1).val (proj T.1.1).val = 2 * dot Y₃.val B₃.val *
((dot B₃.val T.val - dot Y₃.val T.val) * quadBiLin Y₃.val T.val +
(dot Y₃.val T.val - 2 * dot B₃.val T.val) * quadBiLin B₃.val T.val ) := by
(dot Y₃.val T.val - 2 * dot B₃.val T.val) * quadBiLin B₃.val T.val) := by
nth_rewrite 1 [proj_val]
repeat rw [quadBiLin.map_add₁]
repeat rw [quadBiLin.map_smul₁]
@ -159,7 +159,7 @@ lemma cube_proj_proj_self (T : MSSMACC.Sols) :
cubeTriLin (proj T.1.1).val (proj T.1.1).val T.val =
2 * dot Y₃.val B₃.val *
((dot B₃.val T.val - dot Y₃.val T.val) * cubeTriLin T.val T.val Y₃.val +
( dot Y₃.val T.val- 2 * dot B₃.val T.val) * cubeTriLin T.val T.val B₃.val) := by
(dot Y₃.val T.val - 2 * dot B₃.val T.val) * cubeTriLin T.val T.val B₃.val) := by
rw [proj_val]
rw [cubeTriLin.map_add₁, cubeTriLin.map_add₂]
erw [lineY₃B₃_doublePoint]

30
HepLean/AnomalyCancellation/MSSMNu/OrthogY3B3/PlaneWithY3B3.lean
View file

@ -155,23 +155,23 @@ def α₁ (T : MSSMACC.AnomalyFreePerp) : ℚ :=
(3 * cubeTriLin T.val T.val B₃.val * quadBiLin T.val T.val -
2 * cubeTriLin T.val T.val T.val * quadBiLin B₃.val T.val)
/-- A helper function to simplify following expressions. -/
def α₂ (T : MSSMACC.AnomalyFreePerp) : ℚ :=
(2 * cubeTriLin T.val T.val T.val * quadBiLin Y₃.val T.val -
3 * cubeTriLin T.val T.val Y₃.val * quadBiLin T.val T.val)
/-- A helper function to simplify following expressions. -/
def α₂ (T : MSSMACC.AnomalyFreePerp) : ℚ :=
(2 * cubeTriLin T.val T.val T.val * quadBiLin Y₃.val T.val -
3 * cubeTriLin T.val T.val Y₃.val * quadBiLin T.val T.val)
/-- A helper function to simplify following expressions. -/
def α₃ (T : MSSMACC.AnomalyFreePerp) : ℚ :=
6 * ((cubeTriLin T.val T.val Y₃.val) * quadBiLin B₃.val T.val -
(cubeTriLin T.val T.val B₃.val) * quadBiLin Y₃.val T.val)
/-- A helper function to simplify following expressions. -/
def α₃ (T : MSSMACC.AnomalyFreePerp) : ℚ :=
6 * ((cubeTriLin T.val T.val Y₃.val) * quadBiLin B₃.val T.val -
(cubeTriLin T.val T.val B₃.val) * quadBiLin Y₃.val T.val)
lemma lineQuad_cube (R : MSSMACC.AnomalyFreePerp) (c₁ c₂ c₃ : ℚ) :
accCube (lineQuad R c₁ c₂ c₃).val =
- 4 * ( c₁ * quadBiLin B₃.val R.val - c₂ * quadBiLin Y₃.val R.val) ^ 2 *
( α₁ R * c₁ + α₂ R * c₂ + α₃ R * c₃ ) := by
rw [lineQuad_val]
rw [planeY₃B₃_cubic, α₁, α₂, α₃]
ring
lemma lineQuad_cube (R : MSSMACC.AnomalyFreePerp) (c₁ c₂ c₃ : ℚ) :
accCube (lineQuad R c₁ c₂ c₃).val =
- 4 * (c₁ * quadBiLin B₃.val R.val - c₂ * quadBiLin Y₃.val R.val) ^ 2 *
(α₁ R * c₁ + α₂ R * c₂ + α₃ R * c₃) := by
rw [lineQuad_val]
rw [planeY₃B₃_cubic, α₁, α₂, α₃]
ring
/-- The line in the plane spanned by `Y₃`, `B₃` and `R` which is in the cubic. -/
def lineCube (R : MSSMACC.AnomalyFreePerp) (a₁ a₂ a₃ : ℚ) :

2
HepLean/AnomalyCancellation/MSSMNu/OrthogY3B3/ToSols.lean
View file

@ -147,7 +147,7 @@ def InCubeSolProp (R : MSSMACC.Sols) : Prop :=
that solution satisfies `inCubeSolProp`. It appears in the definition of `inLineEqProj`. -/
def cubicCoeff (T : MSSMACC.Sols) : ℚ :=
3 * (dot Y₃.val B₃.val) ^ 3 * (cubeTriLin T.val T.val Y₃.val ^ 2 +
cubeTriLin T.val T.val B₃.val ^ 2 )
cubeTriLin T.val T.val B₃.val ^ 2)
lemma inCubeSolProp_iff_cubicCoeff_zero (T : MSSMACC.Sols) :
InCubeSolProp T ↔ cubicCoeff T = 0 := by

2
HepLean/AnomalyCancellation/MSSMNu/Permutations.lean
View file

@ -60,7 +60,7 @@ lemma chargeMap_toSpecies (f : PermGroup) (S : MSSMCharges.Charges) (j : Fin 6)
@[simp]
def repCharges : Representation ℚ PermGroup (MSSMCharges).Charges where
toFun f := chargeMap f⁻¹
map_mul' f g :=by
map_mul' f g := by
simp only [PermGroup, mul_inv_rev]
apply LinearMap.ext
intro S