Nuprl Lemma : boot-process_wf
[M,E:Type 
Type].
([n:
T:Type. E[T]]. [f:T:Type. (M[T] (T?))]. (boot-process(f;n) 
process(P.M[P];P.E[P]))) supposing
(Continuous+(T.E[T]) and
Continuous+(T.M[T]))
Proof not projected
Definitions occuring in Statement :
boot-process: boot-process(f;n),
process: process(P.M[P];P.E[P]),
strong-type-continuous: Continuous+(T.F[T]),
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
unit: Unit,
member: t T,
isect: x:A. B[x],
function: x:A B[x],
union: left + right,
universe: Type
Definitions :
implies: P 
Q,
all: x:A. B[x],
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
boot-process: boot-process(f;n),
member: t T,
so_apply: x[s],
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s1;s2],
prop: 
Lemmas :
strong-type-continuous_wf,
process_wf,
it_wf,
continuous-constant,
continuous-id,
strong-continuous-union,
unit_wf2,
rec-process_wf
\mforall{}[M,E:Type {}\mrightarrow{} Type].
(\mforall{}[n:\mcap{}T:Type. E[T]]. \mforall{}[f:\mcap{}T:Type. (M[T] {}\mrightarrow{} (T?))].
(boot-process(f;n) \mmember{} process(P.M[P];P.E[P]))) supposing
(Continuous+(T.E[T]) and
Continuous+(T.M[T]))
Date html generated:
2012_01_23-PM-12_03_10
Last ObjectModification:
2011_12_05-AM-11_45_10
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