Nuprl Lemma : cond-msg-body_wf
∀[f:Name ⟶ Type]. ∀[T:Type]. ∀[hdr:Name]. ∀[m:Message(f)]. cond-msg-body(hdr;m) ∈ bag(T) supposing hdr encodes T
Proof
Definitions occuring in Statement :
cond-msg-body: cond-msg-body(hdr;msg),
encodes-msg-type: hdr encodes T,
Message: Message(f),
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type,
bag: bag(T)
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 ,
encodes-msg-type: hdr encodes T,
guard: {T},
msg-type: msg-type(msg;f),
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
bfalse: ff,
not: ¬A,
prop: ℙ
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[T:Type]. \mforall{}[hdr:Name]. \mforall{}[m:Message(f)].
cond-msg-body(hdr;m) \mmember{} bag(T) supposing hdr encodes T
Date html generated:
2016_05_17-AM-08_52_07
Last ObjectModification:
2015_12_29-PM-02_55_58
Theory : messages
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