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update in static_2 and app_2
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diff --git a/matita/matita/contribs/lambdadelta/apps_2/functional/rtm_step.ma b/matita/matita/contribs/lambdadelta/apps_2/functional/rtm_step.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "apps_2/functional/rtm.ma".
-
-(* REDUCTION AND TYPE MACHINE ***********************************************)
-
-(* transitions *)
-inductive rtm_step: relation rtm ≝
-| rtm_drop : ∀G,u,E,I,t,D,V,S,i.
-              rtm_step (mk_rtm G u (E. ④{I} {t, D, V}) S (#(i + 1)))
-                       (mk_rtm G u E S (#i))
-| rtm_ldelta: ∀G,u,E,t,D,V,S.
-              rtm_step (mk_rtm G u (E. ④{Abbr} {t, D, V}) S (#0))
-                       (mk_rtm G u D S V)
-| rtm_ltype : ∀G,u,E,t,D,V,S.
-              rtm_step (mk_rtm G u (E. ④{Abst} {t, D, V}) S (#0))
-                       (mk_rtm G u D S V)
-| rtm_gdrop : ∀G,I,V,u,E,S,p. p < |G| →
-              rtm_step (mk_rtm (G. ⓑ{I} V) u E S (§p))
-                       (mk_rtm G u E S (§p))
-| rtm_gdelta: ∀G,V,u,E,S,p. p = |G| →
-              rtm_step (mk_rtm (G. ⓓV) u E S (§p))
-                       (mk_rtm G u E S V)
-| rtm_gtype : ∀G,V,u,E,S,p. p = |G| →
-              rtm_step (mk_rtm (G. ⓛV) u E S (§p))
-                       (mk_rtm G u E S V)
-| rtm_eps   : ∀G,u,E,S,W,T.
-              rtm_step (mk_rtm G u E S (ⓝW. T))
-                       (mk_rtm G u E S T)
-| rtm_appl  : ∀G,u,E,S,V,T.
-              rtm_step (mk_rtm G u E S (ⓐV. T))
-                       (mk_rtm G u E ({E, V} @ S) T)
-| rtm_beta  : ∀G,u,E,D,V,S,W,T.
-              rtm_step (mk_rtm G u E ({D, V} @ S) (+ⓛW. T))
-                       (mk_rtm G u (E. ④{Abbr} {u, D, V}) S T)
-| rtm_push  : ∀G,u,E,W,T.
-              rtm_step (mk_rtm G u E (Ⓔ) (+ⓛW. T))
-                       (mk_rtm G (u + 1) (E. ④{Abst} {u, E, W}) (Ⓔ) T)
-| rtm_theta : ∀G,u,E,S,V,T.
-              rtm_step (mk_rtm G u E S (+ⓓV. T))
-                       (mk_rtm G u (E. ④{Abbr} {u, E, V}) S T)
-.
-
-interpretation "sequential reduction (RTM)"
-   'SRed O1 O2 = (rtm_step O1 O2).