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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
boot-process: boot-process(f;n),
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
all: ∀x:A. B[x],
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
so_apply: x[s1;s2],
prop: ℙ
Latex:
\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:
2016_05_16-AM-11_44_38
Last ObjectModification:
2015_12_29-PM-01_15_39
Theory : event-ordering
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