In Quad Sol Prop iff proj in Quad Prop
MSSMACC.AnomalyFreePerp.inQuadSolProp_iff_proj_inQuadProp
Plain-language statement
The conditions inQuadSolProp R and inQuadProp (proj R.1.1) are equivalent. This is to be expected since both R and proj R.1.1 define the same plane with Y₃ and B₃.
Exact Lean statement
lemma inQuadSolProp_iff_proj_inQuadProp (R : MSSMACC.Sols) :
InQuadSolProp R ↔ InQuadProp (proj R.1.1)Formal artifact
Lean source
lemma inQuadSolProp_iff_proj_inQuadProp (R : MSSMACC.Sols) : InQuadSolProp R ↔ InQuadProp (proj R.1.1) := by rw [InQuadSolProp, InQuadProp, quad_proj, quad_Y₃_proj, quad_B₃_proj] refine Iff.intro (fun h => ?_) (fun h => ?_) · rw [h.1, h.2] simp only [mul_zero, add_zero, and_self] · rw [show dot Y₃.val B₃.val = 108 by with_unfolding_all rfl] at h simp only [mul_eq_zero, OfNat.ofNat_ne_zero, or_self, false_or] at h rw [h.2.1, h.2.2] exact Prod.mk_eq_zero.mp rfl- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/Particles/SuperSymmetry/MSSMNu/AnomalyCancellation/OrthogY3B3/ToSols.lean:109-118
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