Nuprl Lemma : Process-apply_wf
∀[M:Type ─→ Type]
∀[P:Process(P.M[P])]. ∀[m:pMsg(P.M[P])]. (Process-apply(P;m) ∈ Process(P.M[P]) × pExt(P.M[P]))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
Process-apply: Process-apply(P;m),
pExt: pExt(P.M[P]),
pMsg: pMsg(P.M[P]),
Process: Process(P.M[P]),
strong-type-continuous: Continuous+(T.F[T]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
pExt_wf,
pMsg_wf,
Process_wf,
strong-type-continuous_wf,
process-subtype,
ldag_wf,
Id_wf,
Com_wf,
continuous-ldag,
strong-continuous-product,
continuous-constant,
strong-continuous-isect2,
isect2_wf,
tag-case_wf,
unit_wf2,
strong-continuous-tag-case,
continuous-id
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[P:Process(P.M[P])]. \mforall{}[m:pMsg(P.M[P])]. (Process-apply(P;m) \mmember{} Process(P.M[P]) \mtimes{} pExt(P.M[P]))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_07_18
Last ObjectModification:
2015_01_29-AM-00_10_17
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