Nuprl Lemma : local-simulation-input-validity_wf
∀[f,g:Name ─→ Type]. ∀[X:EClass(Interface)]. ∀[es:EO+(Message(f))]. ∀[hdr:Name]. ∀[locs:bag(Id)].
∀[hdrs:Name List]. ∀[i:Id]. (local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i) ∈ ℙ)
supposing hdr encodes Id × Message(g)
Proof
Definitions occuring in Statement :
local-simulation-input-validity: local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i),
msg-interface: Interface,
encodes-msg-type: hdr encodes T,
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
bag: bag(T)
Lemmas :
all_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
equal_wf,
es-loc_wf,
assert_wf,
has-header-and-in-locs_wf,
es-info_wf,
subtype_rel_product,
top_wf,
subtype_top,
subtype_rel_transitivity,
assert-has-header-and-in-locs,
es-info-body_wf,
subtype_rel-equal,
es-info-type_wf,
iff_weakening_equal,
l_member_wf,
msg-header_wf,
squash_wf,
exists_wf,
es-locl_wf,
classrel_wf,
local-simulation-class_wf,
Id_wf,
list_wf,
name_wf,
encodes-msg-type_wf,
bag_wf,
event-ordering+_wf,
eclass_wf3,
msg-interface_wf
Latex:
\mforall{}[f,g:Name {}\mrightarrow{} Type]. \mforall{}[X:EClass(Interface)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[hdr:Name]. \mforall{}[locs:bag(Id)].
\mforall{}[hdrs:Name List]. \mforall{}[i:Id]. (local-simulation-input-validity(g;X;hdr;locs;hdrs;es;i) \mmember{} \mBbbP{})
supposing hdr encodes Id \mtimes{} Message(g)
Date html generated:
2015_07_22-PM-00_00_22
Last ObjectModification:
2015_02_04-PM-05_08_01
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