Nuprl Lemma : hdf-ap-only-headers
∀[f:Name ─→ Type]. ∀[hdrs:Name List].
∀X:{X:msg-interface-hdf(f)| hdf-only-headers(f;hdrs;X)} . ∀m:Message(f).
(fst(X(m)) ∈ {X:msg-interface-hdf(f)| hdf-only-headers(f;hdrs;X)} )
Proof
Definitions occuring in Statement :
hdf-only-headers: hdf-only-headers(f;hdrs;X),
msg-interface-hdf: msg-interface-hdf(f),
Message: Message(f),
name: Name,
list: T List,
uall: ∀[x:A]. B[x],
pi1: fst(t),
all: ∀x:A. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type,
hdf-ap: X(a)
Lemmas :
hdf-ap-invariant,
all_wf,
msg-interface_wf,
bag-member_wf,
l_member_wf,
msg-header_wf,
msg-interface-message_wf,
bag_wf,
set_wf,
hdataflow_wf,
Message_wf,
Id_wf,
hdf-invariant_wf,
list_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdrs:Name List].
\mforall{}X:\{X:msg-interface-hdf(f)| hdf-only-headers(f;hdrs;X)\} . \mforall{}m:Message(f).
(fst(X(m)) \mmember{} \{X:msg-interface-hdf(f)| hdf-only-headers(f;hdrs;X)\} )
Date html generated:
2015_07_22-PM-00_00_41
Last ObjectModification:
2015_01_28-AM-08_41_01
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