Is Pheno Constrained insert Q10 iff is Pheno Constrained Q10
SuperSymmetry.SU5.ChargeSpectrum.isPhenoConstrained_insertQ10_iff_isPhenoConstrainedQ10
Project documentation
The proposition which is true if the addition of a charge q10 to a set of charges x leads x to being phenomenologically constrained. -/ def IsPhenoConstrainedQ10 [DecidableEq 𝓩] (x : ChargeSpectrum 𝓩) (q10 : 𝓩) : Prop := x.AllowsTermQ10 q10 μ ∨ x.AllowsTermQ10 q10 β ∨ x.AllowsTermQ10 q10 Λ ∨ x.AllowsTermQ10 q10 W2 ∨ x.AllowsTermQ10 q10 W4 ∨ x.All...
Exact Lean statement
lemma isPhenoConstrained_insertQ10_iff_isPhenoConstrainedQ10 [DecidableEq 𝓩] {qHd qHu : Option 𝓩}
{Q5 Q10: Finset 𝓩} {q10 : 𝓩} :
IsPhenoConstrained ⟨qHd, qHu, Q5, insert q10 Q10⟩ ↔
IsPhenoConstrainedQ10 ⟨qHd, qHu, Q5, Q10⟩ q10 ∨
IsPhenoConstrained ⟨qHd, qHu, Q5, Q10⟩Formal artifact
Lean source
lemma isPhenoConstrained_insertQ10_iff_isPhenoConstrainedQ10 [DecidableEq 𝓩] {qHd qHu : Option 𝓩} {Q5 Q10: Finset 𝓩} {q10 : 𝓩} : IsPhenoConstrained ⟨qHd, qHu, Q5, insert q10 Q10⟩ ↔ IsPhenoConstrainedQ10 ⟨qHd, qHu, Q5, Q10⟩ q10 ∨ IsPhenoConstrained ⟨qHd, qHu, Q5, Q10⟩ := by constructor · intro hr rcases hr with hr | hr | hr | hr | hr | hr | hr | hr all_goals rw [allowsTerm_insertQ10_iff_allowsTermQ10] at hr rcases hr with hr | hr all_goals simp_all [IsPhenoConstrainedQ10, IsPhenoConstrained] · intro hr rcases hr with hr | hr · simp [IsPhenoConstrainedQ10] at hr rcases hr with hr | hr | hr | hr | hr | hr | hr | hr all_goals have hr' := allowsTerm_insertQ10_of_allowsTermQ10 _ hr simp_all [IsPhenoConstrained] · apply isPhenoConstrained_mono _ hr simp [subset_def]- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/Particles/SuperSymmetry/SU5/ChargeSpectrum/PhenoConstrained.lean:271-292
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