Some definitions of interest.
ma-compatible	Def M1 || M2 Def == M1 ||decl M2 Def == & 1of(2of(2of(M1))) || 1of(2of(2of(M2))) Def == & 1of(2of(2of(2of(M1)))) || 1of(2of(2of(2of(M2)))) Def == & 1of(2of(2of(2of(2of(M1))))) || 1of(2of(2of(2of(2of(M2))))) Def == & 1of(2of(2of(2of(2of(2of(M1)))))) || 1of(2of(2of(2of(2of(2of(M2)))))) Def == & 1of(2of(2of(2of(2of(2of(2of(M1))))))) || 1of(2of(2of(2of(2of(2of(2of( Def == & 1of(2of(2of(2of(2of(2of(2of(M1))))))) || 1of(M2))))))) Def == & 1of(2of(2of(2of(2of(2of(2of(2of( Def == & 1of(M1)))))))) || 1of(2of(2of(2of(2of(2of(2of(2of(M2))))))))
ma-frame-compatible	Def ma-frame-compatible(A; B) Def == kx:(KndId).  Def == (kx  dom(1of(2of(2of(2of(2of(A)))))) Def == ( Def == (2of(kx)  dom(1of(2of(2of(2of(2of(2of(2of(A)))))))) Def == ( Def == (2of(kx)  dom(1of(2of(2of(2of(2of(2of(2of(B)))))))) Def == ( Def == (deq-member(KindDeq;1of(kx);1of(2of(2of(2of(2of(2of(2of( Def == (deq-member(KindDeq;1of(kx);1of(B)))))))(2of(kx)))) Def == & (kx  dom(1of(2of(2of(2of(2of(B)))))) Def == & ( Def == & (2of(kx)  dom(1of(2of(2of(2of(2of(2of(2of(B)))))))) Def == & ( Def == & (2of(kx)  dom(1of(2of(2of(2of(2of(2of(2of(A)))))))) Def == & ( Def == & (deq-member(KindDeq;1of(kx);1of(2of(2of(2of(2of(2of(2of( Def == & (deq-member(KindDeq;1of(kx);1of(A)))))))(2of(kx))))
ma-join	Def M1  M2 Def == mk-ma(1of(M1)  1of(M2); Def == mk-ma(1of(2of(M1))  1of(2of(M2)); Def == mk-ma(1of(2of(2of(M1)))  1of(2of(2of(M2))); Def == mk-ma(1of(2of(2of(2of(M1))))  1of(2of(2of(2of(M2)))); Def == mk-ma(1of(2of(2of(2of(2of(M1)))))  1of(2of(2of(2of(2of(M2))))); Def == mk-ma(1of(2of(2of(2of(2of(2of(M1))))))  1of(2of(2of(2of(2of(2of( Def == mk-ma(1of(2of(2of(2of(2of(2of(M1))))))  1of(M2)))))); Def == mk-ma(1of(2of(2of(2of(2of(2of(2of( Def == mk-ma(1of(M1)))))))  1of(2of(2of(2of(2of(2of(2of(M2))))))); Def == mk-ma(1of(2of(2of(2of(2of(2of(2of(2of( Def == mk-ma(1of(M1))))))))  1of(2of(2of(2of(2of(2of(2of(2of(M2)))))))))
ma-sframe-compatible	Def ma-sframe-compatible(A; B) Def == kl:(KndIdLnk), tg:Id. Def == (kl  dom(1of(2of(2of(2of(2of(2of(A))))))) Def == ( Def == ((tg  map(p.1of(p);1of(2of(2of(2of(2of(2of(A))))))(kl))) Def == ( Def == (<2of(kl),tg>  dom(1of(2of(2of(2of(2of(2of(2of(2of(A))))))))) Def == ( Def == (<2of(kl),tg>  dom(1of(2of(2of(2of(2of(2of(2of(2of(B))))))))) Def == ( Def == (deq-member(KindDeq;1of(kl);1of(2of(2of(2of(2of(2of(2of(2of( Def == (deq-member(KindDeq;1of(kl);1of(B))))))))(<2of(kl),tg>))) Def == & (kl  dom(1of(2of(2of(2of(2of(2of(B))))))) Def == & ( Def == & ((tg  map(p.1of(p);1of(2of(2of(2of(2of(2of(B))))))(kl))) Def == & ( Def == & (<2of(kl),tg>  dom(1of(2of(2of(2of(2of(2of(2of(2of(B))))))))) Def == & ( Def == & (<2of(kl),tg>  dom(1of(2of(2of(2of(2of(2of(2of(2of(A))))))))) Def == & ( Def == & (deq-member(KindDeq;1of(kl);1of(2of(2of(2of(2of(2of(2of(2of( Def == & (deq-member(KindDeq;1of(kl);1of(A))))))))(<2of(kl),tg>)))
msga	Def MsgA Def == ds:x:Id fp-> Type Def == da:a:Knd fp-> Type Def == x:Id fp-> ds(x)?Voida:Id fp-> State(ds)ma-valtype(da; locl(a))Prop Def == kx:KndId fp-> State(ds)ma-valtype(da; 1of(kx))ds(2of(kx))?Void Def == kl:KndIdLnk fp-> (tg:Id Def == kl:KndIdLnk fp-> (State(ds)ma-valtype(da; 1of(kl)) Def == kl:KndIdLnk fp-> ((da(rcv(2of(kl); tg))?Void List)) List Def == x:Id fp-> Knd Listltg:IdLnkId fp-> Knd ListTop
	Thm* MsgA  Type{i'}
ma-valtype	Def ma-valtype(da; k) == da(k)?Top
Kind-deq	Def KindDeq == union-deq(IdLnkId;Id;product-deq(IdLnk;Id;IdLnkDeq;IdDeq);IdDeq)
Knd	Def Knd == (IdLnkId)+Id
	Thm* Knd  Type
IdLnk	Def IdLnk == IdId
	Thm* IdLnk  Type
idlnk-deq	Def IdLnkDeq == product-deq(Id;Id;IdDeq;product-deq(Id;;IdDeq;NatDeq))
ma-state	Def State(ds) == x:Idds(x)?Top
Id	Def Id == Atom
	Thm* Id  Type
deq	Def EqDecider(T) == eq:TTx,y:T. x = y  (eq(x,y))
	Thm* T:Type. EqDecider(T)  Type
fpf-compatible	Def f || g == x:A. x  dom(f) & x  dom(g)  f(x) = g(x)  B(x)
fpf-sub	Def f  g == x:A. x  dom(f)  x  dom(g) & f(x) = g(x)  B(x)
id-deq	Def IdDeq == product-deq(Atom;;AtomDeq;NatDeq)
product-deq	Def product-deq(A;B;a;b) == <proddeq(a;b),prod-deq(A;B;a;b)>
assert	Def b == if b True else False fi
	Thm* b:. b  Prop
fpf-join	Def f  g == <1of(f) @ filter(a.a  dom(f);1of(g)),a.f(a)?g(a)>
fpf-cap	Def f(x)?z == if x  dom(f) f(x) else z fi
fpf-dom	Def x  dom(f) == deq-member(eq;x;1of(f))
deq-member	Def deq-member(eq;x;L) == reduce(a,b. eqof(eq)(a,x)  b;false;L)
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-ap	Def f(x) == 2of(f)(x)
iff	Def P  Q == (P  Q) & (P  Q)
	Thm* A,B:Prop. (A  B)  Prop
l_member	Def (x  l) == i:. i<||l|| & x = l[i]  T
	Thm* T:Type, x:T, l:T List. (x  l)  Prop
locl	Def locl(a) == inr(a)
	Thm* a:Id. locl(a)  Knd
map	Def map(f;as) == Case of as; nil  nil ; a.as'  [(f(a)) / map(f;as')] Def (recursive)
	Thm* A,B:Type, f:(AB), l:A List. map(f;l)  B List
	Thm* A,B:Type, f:(AB), l:A List. map(f;l)  B List
not	Def A == A  False
	Thm* A:Prop. (A)  Prop
pi1	Def 1of(t) == t.1
	Thm* A:Type, B:(AType), p:(a:AB(a)). 1of(p)  A
pi2	Def 2of(t) == t.2
	Thm* A:Type, B:(AType), p:(a:AB(a)). 2of(p)  B(1of(p))
rcv	Def rcv(l; tg) == inl(<l,tg>)
	Thm* l:IdLnk, tg:Id. rcv(l; tg)  Knd
top	Def Top == Void given Void
	Thm* Top  Type

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