Nuprl Lemma : loop-class-state-program-wf-hdf
∀[Info,B:Type].
∀[init:Id ─→ bag(B)]. ∀[pr:Id ─→ hdataflow(Info;B ─→ B)].
(loop-class-state-program(pr;init) ∈ Id ─→ hdataflow(Info;B))
supposing valueall-type(B)
Proof
Definitions occuring in Statement :
loop-class-state-program: loop-class-state-program(pr;init),
Id: Id,
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),
hdataflow: hdataflow(A;B)
Lemmas :
hdf-state_wf,
Id_wf,
hdataflow_wf,
bag_wf,
valueall-type_wf
Latex:
\mforall{}[Info,B:Type].
\mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[pr:Id {}\mrightarrow{} hdataflow(Info;B {}\mrightarrow{} B)].
(loop-class-state-program(pr;init) \mmember{} Id {}\mrightarrow{} hdataflow(Info;B))
supposing valueall-type(B)
Date html generated:
2015_07_22-PM-00_03_10
Last ObjectModification:
2015_01_28-AM-09_53_08
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