Nuprl Lemma : base-process-class-program_wf1
∀[f:Name ─→ Type]. ∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[loc:Id]. ∀[hdr:Name].
∀[P:LocalClass(X)]. (base-process-class-program(P;loc;hdr) ∈ Id ─→ hdataflow(Message(f);T))
supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
base-process-class-program: base-process-class-program(X;loc;hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
Id: Id,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
hdataflow: hdataflow(A;B)
Lemmas :
mk-hdf_wf,
Message_wf,
hdataflow_wf,
hdf-halted_wf,
test-msg-header-and-loc_wf,
subtype_rel_product,
Id_wf,
top_wf,
subtype_rel_transitivity,
bool_wf,
eqtt_to_assert,
hdf-ap_wf,
assert-test-msg-header-and-loc,
msg-body_wf2,
subtype_rel-equal,
msg-type_wf,
iff_weakening_equal,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
empty-bag_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[loc:Id]. \mforall{}[hdr:Name].
\mforall{}[P:LocalClass(X)]. (base-process-class-program(P;loc;hdr) \mmember{} Id {}\mrightarrow{} hdataflow(Message(f);T))
supposing hdr encodes Id \mtimes{} Info
Date html generated:
2015_07_22-PM-00_03_39
Last ObjectModification:
2015_02_04-PM-05_10_29
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