PhysLean/HepLean/Lorentz/Group/Restricted.lean

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/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Joseph Tooby-Smith
-/
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import HepLean.Lorentz.Group.Orthochronous
import HepLean.Meta.Informal.Basic
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/-!
# The Restricted Lorentz Group
This file is currently a stub.
-/
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TODO "Add definition of the restricted Lorentz group."
TODO "Prove that every member of the restricted Lorentz group is
combiniation of a boost and a rotation."
TODO "Prove restricted Lorentz group equivalent to connected component of identity
of the Lorentz group."
namespace LorentzGroup
/-- The subgroup of the Lorentz group consisting of elements which are proper and orthochronous. -/
informal_definition Restricted where
deps := [``LorentzGroup, ``IsProper, ``IsOrthochronous]
end LorentzGroup