refactor: Lint

This commit is contained in:
jstoobysmith 2024-04-22 08:46:29 -04:00
parent b5dd319eed
commit 748bcb61ae
3 changed files with 13 additions and 10 deletions

View file

@ -270,11 +270,12 @@ lemma accYY_ext {S T : MSSMCharges.charges}
rw [hd, hu]
rfl
/-- The symmetric bilinear function used to define the quadratic ACC. -/
@[simps!]
def quadBiLin : BiLinearSymm MSSMCharges.charges := BiLinearSymm.mk₂ (
fun S => ∑ i, (Q S.1 i * Q S.2 i + (- 2) * (U S.1 i * U S.2 i) +
D S.1 i * D S.2 i + (- 1) * (L S.1 i * L S.2 i) + E S.1 i * E S.2 i) +
(- Hd S.1 * Hd S.2 + Hu S.1 * Hu S.2))
fun (S, T) => ∑ i, (Q S i * Q T i + (- 2) * (U S i * U T i) +
D S i * D T i + (- 1) * (L S i * L T i) + E S i * E T i) +
(- Hd S * Hd T + Hu S * Hu T))
(by
intro a S T
simp only

View file

@ -146,10 +146,10 @@ def lineQuad (R : MSSMACC.AnomalyFreePerp) (c1 c2 c3 : ) : MSSMACC.QuadSols :
AnomalyFreeQuadMk' (lineQuadAFL R c1 c2 c3) (lineQuadAFL_quad R c1 c2 c3)
lemma lineQuad_val (R : MSSMACC.AnomalyFreePerp) (c1 c2 c3 : ) :
(lineQuad R c1 c2 c3).val = (planeY₃B₃ R
(c2 * quadBiLin R.val R.val - 2 * c3 * quadBiLin B₃.val R.val)
(2 * c3 * quadBiLin Y₃.val R.val - c1 * quadBiLin R.val R.val)
(2 * c1 * quadBiLin B₃.val R.val - 2 * c2 * quadBiLin Y₃.val R.val)).val := by
(lineQuad R c1 c2 c3).val = (planeY₃B₃ R
(c2 * quadBiLin R.val R.val - 2 * c3 * quadBiLin B₃.val R.val)
(2 * c3 * quadBiLin Y₃.val R.val - c1 * quadBiLin R.val R.val)
(2 * c1 * quadBiLin B₃.val R.val - 2 * c2 * quadBiLin Y₃.val R.val)).val := by
rfl
lemma lineQuad_smul (R : MSSMACC.AnomalyFreePerp) (a b c d : ) :