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),
hdf-ap: X(a),
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
Definitions unfolded in proof :
msg-interface-hdf: msg-interface-hdf(f),
hdf-only-headers: hdf-only-headers(f;hdrs;X),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
msg-interface: Interface,
so_apply: x[s]
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:
2016_05_17-AM-09_02_35
Last ObjectModification:
2015_12_29-PM-02_50_20
Theory : messages
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