Nuprl Lemma : intransit-to-info_wf
∀[M:Type ─→ Type]. ∀[r:fulpRunType(P.M[P])]. ∀[n2m:ℕ ─→ pMsg(P.M[P])]. ∀[l2m:Id ─→ pMsg(P.M[P])].
∀[env:pEnvType(P.M[P])]. ∀[t:ℕ+]. ∀[lbl:pInTransit(P.M[P])].
(intransit-to-info(n2m;l2m;r;env;t;lbl) ∈ ℤ × Id × pMsg(P.M[P]))
Proof
Definitions occuring in Statement :
intransit-to-info: intransit-to-info(n2m;l2m;r;env;t;lbl),
pEnvType: pEnvType(T.M[T]),
fulpRunType: fulpRunType(T.M[T]),
pInTransit: pInTransit(P.M[P]),
pMsg: pMsg(P.M[P]),
Id: Id,
nat_plus: ℕ+,
nat: ℕ,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
universe: Type
Lemmas :
subtype_rel_dep_function,
nat_wf,
Id_wf,
pMsg_wf,
unit_wf2,
System_wf,
int_seg_wf,
top_wf,
ldag_wf,
pInTransit_wf,
int_seg_subtype-nat,
false_wf,
subtype_rel_product,
list_wf,
component_wf,
subtype_rel_self,
command-to-msg_wf,
nat_plus_wf,
pEnvType_wf,
fulpRunType_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:fulpRunType(P.M[P])]. \mforall{}[n2m:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[l2m:Id {}\mrightarrow{} pMsg(P.M[P])].
\mforall{}[env:pEnvType(P.M[P])]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[lbl:pInTransit(P.M[P])].
(intransit-to-info(n2m;l2m;r;env;t;lbl) \mmember{} \mBbbZ{} \mtimes{} Id \mtimes{} pMsg(P.M[P]))
Date html generated:
2015_07_23-AM-11_17_35
Last ObjectModification:
2015_01_28-PM-11_18_26
Home
Index