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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
cond-msg-body: cond-msg-body(hdr;msg),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
ifthenelse: if b then t else f fi ,
top: Top,
less_than: a < b,
squash: ↓T,
less_than': less_than'(a;b),
true: True,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
not: ¬A,
es-header: header(e),
subtype_rel: A ⊆r B
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:
2016_05_17-AM-08_52_16
Last ObjectModification:
2016_01_17-PM-08_35_19
Theory : messages
Home
Index