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
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
Lemmas :
rec-process_wf,
unit_wf2,
strong-continuous-union,
continuous-id,
continuous-constant,
it_wf,
process_wf,
subtype_rel_wf,
strong-type-continuous_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:
2015_07_17-AM-11_20_25
Last ObjectModification:
2015_01_28-AM-07_34_31
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