Nuprl Lemma : nysiad_Replicas-program_wf
∀[actors:bag(Id)]. ∀[add2baghdr,addwaitinghdr,adeliverhdr,inputmsghdr,kdeliverhdr,readyhdr,tooarcasthdr:Atom List].
∀[mf:nysiad_headers_type{i:l}(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr)].
∀[X:EClass(ℤ × Id × Message(mf))]. ∀[prX:LocalClass(X)].
(nysiad_Replicas-program(actors;add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;...;mf;prX)
∈ LocalClass(nysiad_Replicas(actors;add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;...;mf;X)))
Proof
Definitions occuring in Statement :
nysiad_Replicas-program: nysiad_Replicas-program(actors;add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;...;mf;prX),
nysiad_Replicas: nysiad_Replicas(actors;add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf;X),
nysiad_headers_type: nysiad_headers_type{i:l}(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr),
msg-interface: Interface,
Message: Message(f),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
int: ℤ,
atom: Atom,
bag: bag(T)
Lemmas :
sq_stable__and,
equal_wf,
vatype_wf,
unit_wf2,
equal-wf-T-base,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
nysiad_headers_wf,
l_all_iff,
l_member_wf,
nysiad_headers_fun_wf,
cons_member,
cons_wf,
nil_wf,
equal-wf-base,
list_subtype_base,
atom_subtype_base,
iff_weakening_equal,
name_eq_wf,
bool_wf,
eqtt_to_assert,
assert-name_eq,
sq_stable__no_repeats,
true_wf,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
Message_wf,
subtype_rel_dep_function,
Id_wf,
bind-class-program_wf,
msg-interface_wf,
product-valueall-type,
int-valueall-type,
Id-valueall-type,
Message-valueall-type,
return-loc-bag-class_wf,
nysiad_Replica_wf,
return-loc-bag-class-program_wf,
nysiad_Replica-program_wf,
local-class_wf,
eclass_wf3,
nysiad_headers_type_wf,
list_wf,
bag_wf
Latex:
\mforall{}[actors:bag(Id)].
\mforall{}[add2baghdr,addwaitinghdr,adeliverhdr,inputmsghdr,kdeliverhdr,readyhdr,tooarcasthdr:Atom List].
\mforall{}[...
Date html generated:
2015_07_23-PM-03_47_39
Last ObjectModification:
2015_02_04-PM-04_13_09
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