Nuprl Lemma : hdf-bind-gen_wf
∀[A,B,C:Type]. ∀[X:hdataflow(A;B)]. ∀[Y:B ─→ hdataflow(A;C)]. ∀[hdfs:bag(hdataflow(A;C))].
X (hdfs) >>= Y ∈ hdataflow(A;C) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
hdf-bind-gen: X (hdfs) >>= Y,
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],
universe: Type,
bag: bag(T)
Lemmas :
mk-hdf_wf,
hdf-halted_wf,
bool_wf,
eqtt_to_assert,
bag-null_wf,
bind-nxt_wf,
valueall-type_wf,
bag_wf,
hdataflow_wf
\mforall{}[A,B,C:Type]. \mforall{}[X:hdataflow(A;B)]. \mforall{}[Y:B {}\mrightarrow{} hdataflow(A;C)]. \mforall{}[hdfs:bag(hdataflow(A;C))].
X (hdfs) >>= Y \mmember{} hdataflow(A;C) supposing valueall-type(C)
Date html generated:
2015_07_17-AM-08_06_56
Last ObjectModification:
2015_01_27-PM-00_06_42
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