Nuprl Lemma : hdf-halted-is-inr
∀[A,B:Type]. ∀[X:hdataflow(A;B)]. X ~ inr ⋅ supposing ↑hdf-halted(X)
Proof
Definitions occuring in Statement :
hdf-halted: hdf-halted(P),
hdataflow: hdataflow(A;B),
assert: ↑b,
it: ⋅,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
inr: inr x ,
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
ext-eq: A ≡ B,
and: P ∧ Q,
all: ∀x:A. B[x],
implies: P ⇒ Q,
hdf-halted: hdf-halted(P),
isr: isr(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
false: False,
prop: ℙ,
btrue: tt,
sq_type: SQType(T),
guard: {T}
Latex:
\mforall{}[A,B:Type]. \mforall{}[X:hdataflow(A;B)]. X \msim{} inr \mcdot{} supposing \muparrow{}hdf-halted(X)
Date html generated:
2016_05_16-AM-10_37_47
Last ObjectModification:
2015_12_28-PM-07_45_21
Theory : halting!dataflow
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