Nuprl Lemma : cond-msg-body-sv-bag-only
∀[f:Name ─→ Type]. ∀[hdr:Name]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[T:Type].
(sv-bag-only(cond-msg-body(hdr;info(e))) ∈ T) supposing ((header(e) = hdr ∈ Name) and hdr encodes T)
Proof
Definitions occuring in Statement :
cond-msg-body: cond-msg-body(hdr;msg),
encodes-msg-type: hdr encodes T,
es-header: header(e),
Message: Message(f),
es-info: info(e),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
sv-bag-only: sv-bag-only(b)
Lemmas :
sv-bag-only_wf,
cond-msg-body_wf,
es-info_wf,
Message_wf,
cond-msg-body-single-valued,
name_eq_wf,
msg-header_wf,
bool_wf,
eqtt_to_assert,
assert-name_eq,
bag_size_single_lemma,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
name_wf,
es-header_wf,
encodes-msg-type_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdr:Name]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[T:Type].
(sv-bag-only(cond-msg-body(hdr;info(e))) \mmember{} T) supposing ((header(e) = hdr) and hdr encodes T)
Date html generated:
2015_07_21-PM-04_49_22
Last ObjectModification:
2015_01_28-AM-08_45_38
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