From 940c10ce2821ddf05bb1353a053a27deeb49e0d2 Mon Sep 17 00:00:00 2001 From: Pietro Monticone <38562595+pitmonticone@users.noreply.github.com> Date: Tue, 21 May 2024 14:08:19 +0200 Subject: [PATCH] Update LineInCubic.lean --- HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean b/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean index db47ec0..f87c0fb 100644 --- a/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean +++ b/HepLean/AnomalyCancellation/PureU1/Even/LineInCubic.lean @@ -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) ,