Nuprl Lemma : message-cmp_wf
∀[f:Name ⟶ Type]. ∀[hdrs:Name List]. ∀[mcmp:hdr:Name ⟶ comparison(f hdr)].
(message-cmp(hdrs;mcmp) ∈ comparison({m:Message(f)| (msg-header(m) ∈ hdrs)} ))
Proof
Definitions occuring in Statement :
message-cmp: message-cmp(hdrs;mcmp),
msg-header: msg-header(m),
Message: Message(f),
name: Name,
comparison: comparison(T),
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
message-cmp: message-cmp(hdrs;mcmp),
prop: ℙ,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
comparison: comparison(T),
uimplies: b supposing a,
guard: {T},
so_lambda: λ2x.t[x],
so_apply: x[s],
implies: P ⇒ Q
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdrs:Name List]. \mforall{}[mcmp:hdr:Name {}\mrightarrow{} comparison(f hdr)].
(message-cmp(hdrs;mcmp) \mmember{} comparison(\{m:Message(f)| (msg-header(m) \mmember{} hdrs)\} ))
Date html generated:
2016_05_17-AM-09_03_30
Last ObjectModification:
2016_01_17-PM-08_33_34
Theory : messages
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