Nuprl Lemma : bind-nxt_wf
∀[A,B,C:Type]. ∀[Y:B ─→ hdataflow(A;C)]. ∀[p:hdataflow(A;B) × bag(hdataflow(A;C))]. ∀[a:A].
bind-nxt(Y;p;a) ∈ hdataflow(A;B) × bag(hdataflow(A;C)) × bag(C) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
bind-nxt: bind-nxt(Y;p;a),
hdataflow: hdataflow(A;B),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
bag: bag(T)
Lemmas :
hdf-ap_wf,
bag_wf,
valueall-type-has-valueall,
bag-valueall-type,
product-valueall-type,
hdataflow-valueall-type,
bag-map_wf,
bag-append_wf,
evalall-reduce,
assert_wf,
bnot_wf,
hdf-halted_wf,
set-valueall-type,
bag-filter_wf,
bag-combine_wf,
subtype_rel_bag,
valueall-type_wf,
hdataflow_wf
\mforall{}[A,B,C:Type]. \mforall{}[Y:B {}\mrightarrow{} hdataflow(A;C)]. \mforall{}[p:hdataflow(A;B) \mtimes{} bag(hdataflow(A;C))]. \mforall{}[a:A].
bind-nxt(Y;p;a) \mmember{} hdataflow(A;B) \mtimes{} bag(hdataflow(A;C)) \mtimes{} bag(C) supposing valueall-type(C)
Date html generated:
2015_07_17-AM-08_06_48
Last ObjectModification:
2015_01_27-PM-00_06_50
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