Is Pheno Constrained insert Q5 iff is Pheno Constrained Q5
SuperSymmetry.SU5.ChargeSpectrum.isPhenoConstrained_insertQ5_iff_isPhenoConstrainedQ5
Project documentation
The proposition which is true if the addition of a charge q5 to a set of charge x leads x to being phenomenologically constrained. -/ def IsPhenoConstrainedQ5 [DecidableEq 𝓩] (x : ChargeSpectrum 𝓩) (q5 : 𝓩) : Prop := x.AllowsTermQ5 q5 μ ∨ x.AllowsTermQ5 q5 β ∨ x.AllowsTermQ5 q5 Λ ∨ x.AllowsTermQ5 q5 W2 ∨ x.AllowsTermQ5 q5 W4 ∨ x.AllowsTermQ5 q5 K...
Exact Lean statement
lemma isPhenoConstrained_insertQ5_iff_isPhenoConstrainedQ5 [DecidableEq 𝓩] {qHd qHu : Option 𝓩}
{Q5 Q10: Finset 𝓩} {q5 : 𝓩} :
IsPhenoConstrained ⟨qHd, qHu, insert q5 Q5, Q10⟩↔
IsPhenoConstrainedQ5 ⟨qHd, qHu, Q5, Q10⟩ q5 ∨
IsPhenoConstrained ⟨qHd, qHu, Q5, Q10⟩Formal artifact
Lean source
lemma isPhenoConstrained_insertQ5_iff_isPhenoConstrainedQ5 [DecidableEq 𝓩] {qHd qHu : Option 𝓩} {Q5 Q10: Finset 𝓩} {q5 : 𝓩} : IsPhenoConstrained ⟨qHd, qHu, insert q5 Q5, Q10⟩↔ IsPhenoConstrainedQ5 ⟨qHd, qHu, Q5, Q10⟩ q5 ∨ IsPhenoConstrained ⟨qHd, qHu, Q5, Q10⟩:= by constructor · intro hr rcases hr with hr | hr | hr | hr | hr | hr | hr | hr all_goals rw [allowsTerm_insertQ5_iff_allowsTermQ5] at hr rcases hr with hr | hr all_goals simp_all [IsPhenoConstrainedQ5, IsPhenoConstrained] · intro hr rcases hr with hr | hr · simp [IsPhenoConstrainedQ5] at hr rcases hr with hr | hr | hr | hr | hr | hr | hr | hr all_goals have hr' := allowsTerm_insertQ5_of_allowsTermQ5 _ 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:205-226
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