Nuprl Lemma : state-machine-spec_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[C,R:Type]. ∀[F:(C List) ⟶ R]. ∀[I:EClass(C)]. ∀[O:EClass(R)].
(state-machine-spec{i:l}(Info;es;C;R;F;I;O) ∈ ℙ')
Proof
Definitions occuring in Statement :
state-machine-spec: state-machine-spec{i:l}(Info;es;C;R;F;I;O),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
so_apply: x[s],
true: True,
btrue: tt,
ifthenelse: if b then t else f fi ,
assert: ↑b,
guard: {T},
implies: P ⇒ Q,
sq_type: SQType(T),
es-E-interface: E(X),
and: P ∧ Q,
top: Top,
all: ∀x:A. B[x],
uimplies: b supposing a,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s1;s2],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
state-machine-spec: state-machine-spec{i:l}(Info;es;C;R;F;I;O),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[C,R:Type]. \mforall{}[F:(C List) {}\mrightarrow{} R]. \mforall{}[I:EClass(C)]. \mforall{}[O:EClass(R)].
(state-machine-spec\{i:l\}(Info;es;C;R;F;I;O) \mmember{} \mBbbP{}')
Date html generated:
2016_05_17-AM-08_08_05
Last ObjectModification:
2015_12_28-PM-11_15_16
Theory : event-ordering
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