(* transitions *)
inductive rtm_step: relation rtm ≝
-| rtm_ldrop : ∀G,u,E,I,t,D,V,S,i.
+| 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_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_tau : ∀G,u,E,S,W,T.
+| 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 ({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 (â\9f ) (+ⓛW. T))
- (mk_rtm G (u + 1) (E. â\91£{Abst} {u, E, W}) (â\9f ) T)
+ rtm_step (mk_rtm G u E (â\97\8a) (+ⓛW. T))
+ (mk_rtm G (u + 1) (E. â\91£{Abst} {u, E, W}) (â\97\8a) 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)