Nuprl Lemma : pRun_wf
∀[M:Type ─→ Type]
∀[nat2msg:ℕ ─→ pMsg(P.M[P])]. ∀[loc2msg:Id ─→ pMsg(P.M[P])]. ∀[S0:System(P.M[P])]. ∀[env:pEnvType(P.M[P])].
(pRun(S0;env;nat2msg;loc2msg) ∈ fulpRunType(P.M[P]))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
pRun: pRun(S0;env;nat2msg;loc2msg),
pEnvType: pEnvType(T.M[T]),
fulpRunType: fulpRunType(T.M[T]),
System: System(P.M[P]),
pMsg: pMsg(P.M[P]),
Id: Id,
strong-type-continuous: Continuous+(T.F[T]),
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
top_wf,
pEnvType_wf,
System_wf,
Id_wf,
pMsg_wf,
nat_wf,
strong-type-continuous_wf,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
int_seg_wf,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
decidable__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
le_wf,
eq_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
it_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
int_upper_subtype_nat,
nequal-le-implies,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
lelt_wf,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
subtype_rel_product,
unit_wf2,
ldag_wf,
pInTransit_wf,
list_wf,
component_wf,
subtype_rel_self,
do-chosen-command_wf,
subtract-is-less
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[nat2msg:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[loc2msg:Id {}\mrightarrow{} pMsg(P.M[P])]. \mforall{}[S0:System(P.M[P])].
\mforall{}[env:pEnvType(P.M[P])].
(pRun(S0;env;nat2msg;loc2msg) \mmember{} fulpRunType(P.M[P]))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_09_45
Last ObjectModification:
2015_01_29-AM-00_10_41
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