Allows Term Form card le degree
SuperSymmetry.SU5.ChargeSpectrum.allowsTermForm_card_le_degree
Project documentation
The charge spectrum allowsTermForm a b c T allows the potential term T. -/ lemma allowsTermForm_allowsTerm {a b c : 𝓩} {T : PotentialTerm} : (allowsTermForm a b c T).AllowsTerm T := by simp [AllowsTerm, ofPotentialTerm, allowsTermForm] cases T all_goals simp [PotentialTerm.toFieldLabel, ofFieldLabel] case Λ => exact ⟨a, b, by simp⟩ case K1 | topYukaw...
Exact Lean statement
lemma allowsTermForm_card_le_degree {a b c : 𝓩} {T : PotentialTerm} :
(allowsTermForm a b c T).card ≤ T.degreeFormal artifact
Lean source
lemma allowsTermForm_card_le_degree {a b c : 𝓩} {T : PotentialTerm} : (allowsTermForm a b c T).card ≤ T.degree := by cases T all_goals simp [allowsTermForm, PotentialTerm.toFieldLabel, card, PotentialTerm.degree] case' Λ => have h1 : Finset.card {a, b} ≤ 2 := Finset.card_le_two omega case' W3 => have h1 : Finset.card {b, -b - 2 • a} ≤ 2 := Finset.card_le_two omega case' K1 | topYukawa => have h1 : Finset.card {b, -a - b} ≤ 2 := Finset.card_le_two omega all_goals have h1 : Finset.card {a, b, c} ≤ 3 := Finset.card_le_three omega- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/Particles/SuperSymmetry/SU5/ChargeSpectrum/AllowsTerm.lean:245-261
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