Nuprl Lemma : cond-msg-body-single-valued
∀[f:Name ⟶ Type]. ∀[hdr:Name]. ∀[m:Message(f)]. ∀[T:Type].
single-valued-bag(cond-msg-body(hdr;m);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],
function: x:A ⟶ B[x],
universe: Type,
single-valued-bag: single-valued-bag(b;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),
single-valued-bag: single-valued-bag(b;T),
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 ,
prop: ℙ,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
not: ¬A
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdr:Name]. \mforall{}[m:Message(f)]. \mforall{}[T:Type].
single-valued-bag(cond-msg-body(hdr;m);T) supposing hdr encodes T
Date html generated:
2016_05_17-AM-08_52_13
Last ObjectModification:
2015_12_29-PM-02_56_32
Theory : messages
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