Nuprl Lemma : hdf-ap-single-valued-except2
∀[f:Name ─→ Type]. ∀[hdrs:Name List].
∀X:{X:msg-interface-hdf(f)| hdf-single-valued-except(f;hdrs;X)} . ∀m:Message(f).
single-valued-bag([x∈snd(X(m))|¬bmsg-header(snd(snd(x))) ∈b hdrs)];Interface)
Proof
Definitions occuring in Statement :
hdf-single-valued-except: hdf-single-valued-except(f;hdrs;X),
msg-interface-hdf: msg-interface-hdf(f),
msg-interface: Interface,
msg-header: msg-header(m),
Message: Message(f),
name-deq: NameDeq,
name: Name,
deq-member: x ∈b L),
list: T List,
bnot: ¬bb,
uall: ∀[x:A]. B[x],
pi2: snd(t),
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type,
single-valued-bag: single-valued-bag(b;T),
bag-filter: [x∈b|p[x]],
hdf-ap: X(a)
Lemmas :
hdf-ap-invariant2,
Message_wf,
Id_wf,
single-valued-bag_wf,
msg-interface_wf,
bag-filter_wf,
bnot_wf,
deq-member_wf,
name-deq_wf,
msg-header_wf,
subtype_rel_bag,
assert_wf,
bag_wf,
sq_stable__all,
all_wf,
bag-member_wf,
equal_wf,
sq_stable__equal,
set_wf,
msg-interface-hdf_wf,
hdf-single-valued-except_wf,
name_wf,
hdf-ap_wf,
hdataflow_wf,
list_wf,
filter_nil_lemma,
single-valued-bag-empty
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdrs:Name List].
\mforall{}X:\{X:msg-interface-hdf(f)| hdf-single-valued-except(f;hdrs;X)\} . \mforall{}m:Message(f).
single-valued-bag([x\mmember{}snd(X(m))|\mneg{}\msubb{}msg-header(snd(snd(x))) \mmember{}\msubb{} hdrs)];Interface)
Date html generated:
2015_07_22-PM-00_00_36
Last ObjectModification:
2015_01_28-AM-08_42_28
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