Some definitions of interest.
d-realizes	Def D  Def realizes es.P(es) Def == D':Dsys.  Def == D  D'  (w:World, p:FairFifo. PossibleWorld(D';w)  P(ES(w)))
d-sub	Def D1  D2 == i:Id. M(i)  M(i)
dsys	Def Dsys == IdMsgA
	Thm* Dsys  Type{i'}
Knd	Def Knd == (IdLnkId)+Id
	Thm* Knd  Type
ma-state	Def State(ds) == x:Idds(x)?Top
ma-valtype	Def ma-valtype(da; k) == da(k)?Top
w-es	Def ES(the_w;p) Def == <E Def == ,product-deq(Id;;IdDeq;NatDeq) Def == ,(i,x. vartype(i;x)) Def == ,(i,a. V(i;locl(a))) Def == ,the_w.M Def == , Def == ,(e.loc(e)) Def == ,(e.kind(e)) Def == ,(e.val(e)) Def == ,(x,e. (x when e)) Def == ,(x,e. (x after e)) Def == ,(l,e. sends(l;e)) Def == ,(e.sender(e)) Def == ,(e.index(e)) Def == ,(e.first(e)) Def == ,(e.pred(e)) Def == ,(e,e'. e <c e') Def == ,world_DASH_event_DASH_system{1:l, i:l}(the_w,p) Def == ,>
Id	Def Id == Atom
	Thm* Id  Type
es-E	Def E == 1of(es)
es-after	Def (x after e) Def == 1of(2of(2of(2of(2of(2of(2of(2of(2of(2of(2of(es)))))))))))(x,e)
es-valtype	Def valtype(e) == if isrcv(e) rcvtype(e) else acttype(e) fi
es-kind	Def kind(e) == 1of(2of(2of(2of(2of(2of(2of(2of(es))))))))(e)
es-loc	Def loc(e) == 1of(2of(2of(2of(2of(2of(2of(es)))))))(e)
es-val	Def val(e) == 1of(2of(2of(2of(2of(2of(2of(2of(2of(es)))))))))(e)
es-vartype	Def vartype(i;x) == 1of(2of(2of(es)))(i,x)
es-when	Def (x when e) == 1of(2of(2of(2of(2of(2of(2of(2of(2of(2of(es))))))))))(x,e)
fpf	Def a:A fp-> B(a) == d:A Lista:{a:A| (a  d) }B(a)
	Thm* A:Type, B:(AType). a:A fp-> B(a)  Type
fpf-cap	Def f(x)?z == if x  dom(f) f(x) else z fi
ma-single-effect0	Def ma-single-effect0(x;A;k;T;f) Def == ma-single-effect(x : A; k : T; k; x; (s,v. f(s(x),v)))
ma-single-effect	Def ma-single-effect(ds; da; k; x; f) == mk-ma(ds; da; ; ; <k,x> : f; ; ; )
fpf-single	Def x : v == <[x],x.v>
m-sys-at	Def @i: A(j) == if j = i A else  fi
id-deq	Def IdDeq == product-deq(Atom;;AtomDeq;NatDeq)
top	Def Top == Void given Void
	Thm* Top  Type

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