Nuprl Lemma : hdf-ap-single-valued-except
∀[f:Name ⟶ Type]. ∀[hdrs:Name List]. ∀[X:{X:msg-interface-hdf(f)| hdf-single-valued-except(f;hdrs;X)} ].
∀m:Message(f). (fst(X(m)) ∈ {X:msg-interface-hdf(f)| hdf-single-valued-except(f;hdrs;X)} )
Proof
Definitions occuring in Statement :
hdf-single-valued-except: hdf-single-valued-except(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 :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
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,
prop: ℙ
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). (fst(X(m)) \mmember{} \{X:msg-interface-hdf(f)| hdf-single-valued-except(f;hdrs;X)\} )
Date html generated:
2016_05_17-AM-09_02_16
Last ObjectModification:
2015_12_29-PM-02_50_40
Theory : messages
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