refactor: Lint

This commit is contained in:
jstoobysmith 2024-11-10 06:57:41 +00:00
parent 6c17a61989
commit b0c5ed894f
8 changed files with 16 additions and 11 deletions

View file

@ -136,9 +136,11 @@ lemma stdBasis_decomp (v : ContrMod d) : v = ∑ i, v.toFin1d i • stdBasis
-/
/-- Multiplication of a matrix with a vector in `ContrMod`. -/
abbrev mulVec (M : Matrix (Fin 1 ⊕ Fin d) (Fin 1 ⊕ Fin d) ) (v : ContrMod d) :
ContrMod d := Matrix.toLinAlgEquiv stdBasis M v
/-- Multiplication of a matrix with a vector in `ContrMod`. -/
scoped[Lorentz] infixr:73 " *ᵥ " => ContrMod.mulVec
@[simp]
@ -173,6 +175,8 @@ lemma mulVec_mulVec (M N : Matrix (Fin 1 ⊕ Fin d) (Fin 1 ⊕ Fin d) ) (v :
(Not the Minkowski norm, but the norm of a vector in `ContrModule d`.)
-/
/-- A `NormedAddCommGroup` structure on `ContrMod`. This is not an instance, as we
don't want it to be applied always. -/
def norm : NormedAddCommGroup (ContrMod d) where
norm v := ‖v.val‖₊
dist_self x := Pi.normedAddCommGroup.dist_self x.val
@ -180,6 +184,8 @@ def norm : NormedAddCommGroup (ContrMod d) where
dist_comm x y := Pi.normedAddCommGroup.dist_comm x.val y.val
eq_of_dist_eq_zero {x y} := fun h => ext (MetricSpace.eq_of_dist_eq_zero h)
/-- The underlying space part of a `ContrMod` formed by removing the first element.
A better name for this might be `tail`. -/
def toSpace (v : ContrMod d) : EuclideanSpace (Fin d) := v.val ∘ Sum.inr
/-!
@ -368,9 +374,11 @@ lemma stdBasis_decomp (v : CoMod d) : v = ∑ i, v.toFin1d i • stdBasis i :
-/
/-- Multiplication of a matrix with a vector in `CoMod`. -/
abbrev mulVec (M : Matrix (Fin 1 ⊕ Fin d) (Fin 1 ⊕ Fin d) ) (v : CoMod d) :
CoMod d := Matrix.toLinAlgEquiv stdBasis M v
/-- Multiplication of a matrix with a vector in `CoMod`. -/
scoped[Lorentz] infixr:73 " *ᵥ " => CoMod.mulVec
@[simp]