Nuprl Lemma : base-process-inputs_wf
∀[f:Name ─→ Type]. ∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[loc:Id]. ∀[hdr:Name].
∀[es:EO+(Message(f))]. ∀[e:E]. (base-process-inputs(loc;hdr;es;e) ∈ Info List) supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
base-process-inputs: base-process-inputs(loc;hdr;es;e),
encodes-msg-type: hdr encodes T,
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
name: Name,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
filter_type,
test-msg-header-and-loc_wf,
subtype_rel_product,
top_wf,
subtype_rel_transitivity,
map_wf,
es-loc_wf,
es-info_wf,
es-le-before_wf,
list_wf,
assert_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf,
encodes-msg-type_wf,
Id_wf,
name_wf,
eclass_wf,
assert-test-msg-header-and-loc,
msg-body_wf2,
subtype_rel-equal,
msg-type_wf,
iff_weakening_equal
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[loc:Id]. \mforall{}[hdr:Name].
\mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. (base-process-inputs(loc;hdr;es;e) \mmember{} Info List)
supposing hdr encodes Id \mtimes{} Info
Date html generated:
2015_07_21-PM-04_49_35
Last ObjectModification:
2015_02_04-PM-05_09_03
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