Nuprl Lemma : rec-combined-loc-class-opt-1-nlp
[A:
']
B:{B:'| valueall-type(B)} . F:Id 
bag(A) bag(B) bag(B). init:Id bag(B).
[X:EClass(A)]
NormalLProgrammable'(A;X) 
NormalLProgrammable'(B;F|Loc, X, Prior(self)?init|)
supposing i:Id. s:bag(B). ((F i {} s) = {})
Proof not projected
Definitions occuring in Statement :
Message: Message,
normal-locally-programmable: NormalLProgrammable(A;X),
rec-combined-loc-class-opt-1: F|Loc, X, Prior(self)?init|,
eclass: EClass(A[eo; e]),
Id: Id,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P Q,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t,
empty-bag: {},
bag: bag(T),
valueall-type: valueall-type(T)
Lemmas :
Message_wf,
Id_wf,
local-program-at_wf,
rec-combined-loc-class-opt-1_wf,
normal-locally-programmable_wf,
dataflow-program_wf,
bag_wf,
Error :eclass_wf,
valueall-type_wf,
empty-bag_wf,
eclass_wf3,
eclass_wf2,
member_wf,
uall_wf,
sq_stable__all,
sq_stable__uall,
sq_stable_from_decidable,
es-E_wf,
event-ordering+_wf,
event-ordering+_inc,
rec-comb-locally-programmable1,
squash_wf,
subtype_rel_wf,
Message-inhabited,
le_wf,
not_wf,
false_wf,
nat_wf,
int_seg_wf,
select_wf,
decidable__equal_int,
subtype_base_sq,
int_subtype_base,
length_wf,
decidable__or,
decidable__squash
\mforall{}[A:\mBbbU{}']
\mforall{}B:\{B:\mBbbU{}'| valueall-type(B)\} . \mforall{}F:Id {}\mrightarrow{} bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(B). \mforall{}init:Id {}\mrightarrow{} bag(B).
\mforall{}[X:EClass(A)]
NormalLProgrammable'(A;X) {}\mRightarrow{} NormalLProgrammable'(B;F|Loc, X, Prior(self)?init|)
supposing \mforall{}i:Id. \mforall{}s:bag(B). ((F i \{\} s) = \{\})
Date html generated:
2012_01_23-PM-12_50_42
Last ObjectModification:
2012_01_12-AM-10_35_02
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