Minimally Allows Term of mem minimally Allows Term Of Finset
SuperSymmetry.SU5.ChargeSpectrum.minimallyAllowsTerm_of_mem_minimallyAllowsTermOfFinset
Project documentation
The multiset of all charges within ofFinset S5 S10 which minimally allow the potential term T. -/ def minimallyAllowsTermsOfFinset (S5 S10 : Finset 𝓩) : (T : PotentialTerm) → Multiset (ChargeSpectrum 𝓩) | μ => let SqHd := S5.val let SqHu := S5.val let prod := SqHd ×ˢ (SqHu) let Filt := prod.filter (fun x => - x.1 + x.2 = 0) (Filt.map (fun x => ⟨x.1,...
Exact Lean statement
lemma minimallyAllowsTerm_of_mem_minimallyAllowsTermOfFinset {S5 S10 : Finset 𝓩}
{T : PotentialTerm} {x : ChargeSpectrum 𝓩}
(hx : x ∈ minimallyAllowsTermsOfFinset S5 S10 T) :
x.MinimallyAllowsTerm TFormal artifact
Lean source
lemma minimallyAllowsTerm_of_mem_minimallyAllowsTermOfFinset {S5 S10 : Finset 𝓩} {T : PotentialTerm} {x : ChargeSpectrum 𝓩} (hx : x ∈ minimallyAllowsTermsOfFinset S5 S10 T) : x.MinimallyAllowsTerm T := by by_cases hT : T ≠ W1 ∧ T ≠ W2 · obtain ⟨a, b, c, rfl⟩ := eq_allowsTermForm_of_mem_minimallyAllowsTermOfFinset hx exact allowsTermForm_minimallyAllowsTerm hT · obtain rfl | rfl : T = W1 ∨ T = W2 := by tauto all_goals simp [minimallyAllowsTermsOfFinset] at hx exact hx.2- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/Particles/SuperSymmetry/SU5/ChargeSpectrum/MinimallyAllowsTerm/OfFinset.lean:450-460
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