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Update LineInCubic.lean

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Pietro Monticone 2024-05-21 14:08:19 +02:00
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HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean
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@ -15,10 +15,10 @@ import Mathlib.Tactic.Polyrith
# Line In Cubic Even case
We say that a linear solution satisfies the `lineInCubic` property
if the line through that point and through the two different planes formed by the baisis of
if the line through that point and through the two different planes formed by the basis of
`LinSols` lies in the cubic.
We show that for a solution all its permutations satsfiy this property, then there exists
We show that for a solution all its permutations satisfy this property, then there exists
a permutation for which it lies in the plane spanned by the first part of the basis.
The main reference for this file is:
@ -34,7 +34,7 @@ open BigOperators
variable {n : ℕ}
open VectorLikeEvenPlane
/-- A property on `LinSols`, statified if every point on the line between the two planes
/-- A property on `LinSols`, satisfied if every point on the line between the two planes
in the basis through that point is in the cubic. -/
def lineInCubic (S : (PureU1 (2 * n.succ)).LinSols) : Prop :=
∀ (g : Fin n.succ → ℚ) (f : Fin n → ℚ) (_ : S.val = Pa g f) (a b : ℚ) ,