Nuprl Lemma : sm-class_wf
[Info,Op,S,R:Type]. [F:S 
Op (S 
R)]. [init:S]. [X:EClass(Op)].
(sm-class(init;s,op.F[s;op];X) 
EClass(S R))
Proof not projected
Definitions occuring in Statement :
sm-class: sm-class(init;s,x.F[s; x];X),
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
so_apply: x[s1;s2],
member: t T,
function: x:A B[x],
product: x:A B[x],
universe: Type
Definitions :
void: Void,
top: Top,
pi1: fst(t),
so_lambda: 
x.t[x],
accum-class: accum-class(a,x.f[a; x];x.base[x];X),
subtype: S 
T,
event_ordering: EO,
es-E: E,
event-ordering+: EO+(Info),
lambda: x.A[x],
all: x:A. B[x],
axiom: Ax,
apply: f a,
so_apply: x[s1;s2],
sm-class: sm-class(init;s,x.F[s; x];X),
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
equal: s = t,
universe: Type,
product: x:A B[x],
function: x:A B[x],
member: t T,
uall: [x:A]. B[x],
isect: 
x:A. B[x]
Lemmas :
eclass_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
accum-class_wf,
pi1_wf_top,
top_wf,
member_wf
\mforall{}[Info,Op,S,R:Type]. \mforall{}[F:S {}\mrightarrow{} Op {}\mrightarrow{} (S \mtimes{} R)]. \mforall{}[init:S]. \mforall{}[X:EClass(Op)].
(sm-class(init;s,op.F[s;op];X) \mmember{} EClass(S \mtimes{} R))
Date html generated:
2011_10_20-PM-04_09_10
Last ObjectModification:
2011_01_24-PM-06_56_55
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