Project-declaredLean 4.32.0 · mathlib@81a5d257c8e4

Map is Pheno Constrained

SuperSymmetry.SU5.ChargeSpectrum.map_isPhenoConstrained

physics quantum field theory relativity map

Project documentation

Given an additive monoid homomorphisms f : 𝓩 →+ 𝓩1, for a charge x : Charges 𝓩, x.map f is the charge of Charges 𝓩1 obtained by mapping the elements of x by f. -/ def map (f : 𝓩 →+ 𝓩1) (x : ChargeSpectrum 𝓩) : ChargeSpectrum 𝓩1 where qHd := f < $> x.qHd qHu := f <$ > x.qHu Q5 := x.Q5.image f Q10 := x.Q10.image f /- ### A.1. Mapping the e...

Exact Lean statement

lemma map_isPhenoConstrained (f : 𝓩 →+ 𝓩1) {x : ChargeSpectrum 𝓩}
    (h : x.IsPhenoConstrained) : (map f x).IsPhenoConstrained

Formal artifact

Lean source

Canonical source

Full Lean sourceLean 4

lemma map_isPhenoConstrained (f : 𝓩 →+ 𝓩1) {x : ChargeSpectrum 𝓩}    (h : x.IsPhenoConstrained) : (map f x).IsPhenoConstrained := by  simp [IsPhenoConstrained] at ⊢ h  rcases h with h | h | h | h | h | h | h | h  · exact Or.inl (map_allowsTerm h)  · exact Or.inr (Or.inl (map_allowsTerm h))  · exact Or.inr (Or.inr (Or.inl (map_allowsTerm h)))  · exact Or.inr (Or.inr (Or.inr (Or.inl (map_allowsTerm h))))  · exact Or.inr (Or.inr (Or.inr (Or.inr (Or.inl (map_allowsTerm h)))))  · exact Or.inr (Or.inr (Or.inr (Or.inr (Or.inr (Or.inl (map_allowsTerm h))))))  · exact Or.inr (Or.inr (Or.inr (Or.inr (Or.inr (Or.inr (Or.inl (map_allowsTerm h)))))))  · exact Or.inr (Or.inr (Or.inr (Or.inr (Or.inr (Or.inr (Or.inr ((map_allowsTerm h))))))))

Project: Physlib
License: Apache-2.0
Commit: dd43e9e65791
Source: Physlib/Particles/SuperSymmetry/SU5/ChargeSpectrum/Map.lean:276-287

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