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Project-declaredLean 4.32.0 · mathlib@81a5d257c8e4

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 T

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
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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