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),
hdf-ap: X(a),
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]]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
hdf-single-valued-except: hdf-single-valued-except(f;hdrs;X),
msg-interface-hdf: msg-interface-hdf(f),
so_lambda: λ2x.t[x],
pi2: snd(t),
so_apply: x[s],
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
single-valued-bag: single-valued-bag(b;T),
prop: ℙ,
empty-bag: {},
bag-filter: [x∈b|p[x]],
top: Top
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:
2016_05_17-AM-09_02_20
Last ObjectModification:
2015_12_29-PM-02_55_50
Theory : messages
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