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
Lemmas :
comparison-seq_wf,
Message_wf,
l_member_wf,
msg-header_wf,
compare-fun_wf,
bool_wf,
bool-cmp_wf,
msg-authentic_wf,
equal-wf-T-base,
comparison_wf,
list-index-cmp_wf,
name-deq_wf,
subtype_rel_comparison,
msg-body-cmp_wf,
subtype_rel_nested_set2,
subtype_rel_nested_set,
subtype_rel_sets,
set_wf,
name_wf,
list_wf
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:
2015_07_22-PM-00_01_10
Last ObjectModification:
2015_01_28-AM-08_44_01
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