Nuprl Lemma : nysiad_QueueState-classrel
∀[add2baghdr,addwaitinghdr,adeliverhdr,inputmsghdr,kdeliverhdr,readyhdr,tooarcasthdr:Atom List].
∀[mf:nysiad_headers_type{i:l}(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr)].
∀es:EO+(Message(mf)). ∀e:E. ∀x:Id. ∀v:(Message(mf) × Id? × Id) List × 𝔹.
(v ∈ nysiad_QueueState(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf) x(e)
⇐⇒ v
= nysiad_QueueStateFun(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;...;mf;x;es;e)
∈ ((Message(mf) × Id? × Id) List × 𝔹))
Proof
Definitions occuring in Statement :
nysiad_QueueStateFun: nysiad_QueueStateFun(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf;x;es;e),
nysiad_QueueState: nysiad_QueueState(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf),
nysiad_headers_type: nysiad_headers_type{i:l}(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr),
Message: Message(f),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
unit: Unit,
apply: f a,
product: x:A × B[x],
union: left + right,
atom: Atom,
equal: s = t ∈ T
Lemmas :
sq_stable__and,
equal_wf,
vatype_wf,
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,
eqtt_to_assert,
assert-name_eq,
sq_stable__no_repeats,
true_wf,
eqff_to_assert,
bool_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
Message_wf,
subtype_rel_dep_function,
Id_wf,
unit_wf2,
classrel-classfun,
nysiad_QueueState-functional,
classrel_wf,
list_wf,
nysiad_QueueState_wf,
nysiad_QueueStateFun_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
nysiad_headers_type_wf
Latex:
\mforall{}[add2baghdr,addwaitinghdr,adeliverhdr,inputmsghdr,kdeliverhdr,readyhdr,tooarcasthdr:Atom List].
\mforall{}[...
Date html generated:
2015_07_23-PM-03_45_48
Last ObjectModification:
2015_02_04-PM-04_19_42
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