Acc Grav Q zero
SM.SMNoGrav.One.accGrav_Q_zero
Plain-language statement
For a set of 1-family SM charges satisfying all ACCs except the gravitational, if the Q charge is zero then the charges satisfy the gravitational ACCs.
Exact Lean statement
lemma accGrav_Q_zero {S : (SMNoGrav 1).Sols} (hQ : Q S.val (0 : Fin 1) = 0) :
accGrav S.val = 0Formal artifact
Lean source
lemma accGrav_Q_zero {S : (SMNoGrav 1).Sols} (hQ : Q S.val (0 : Fin 1) = 0) : accGrav S.val = 0 := by rw [accGrav] have hE := E_zero_iff_Q_zero.mp hQ simp_all only [toSpecies_apply_eq, Fin.isValue, sum_SMSpecies_numberCharges_one, LinearMap.coe_mk, AddHom.coe_mk] have h1 := SU2Sol S.1.1 have h2 := SU3Sol S.1.1 simp only [accSU2, toSpecies_apply_eq, Fin.isValue, sum_SMSpecies_numberCharges_one, LinearMap.coe_mk, AddHom.coe_mk, accSU3] at h1 h2 erw [hQ] at h1 h2 ⊢ erw [hE] linear_combination 2 * h1 + 3 * h2- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/Particles/StandardModel/AnomalyCancellation/NoGrav/One/Lemmas.lean:41-53
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