Nuprl Lemma : new_23_sig_commands_from_votes_wf
∀[Cmd:ValueAllType]. ∀[propose,notify:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀[es:EO+(Message(f))]. ∀[e:E]. ∀[e':{e':E| e ≤loc e' } ]. ∀[n,r:ℤ].
(new_23_sig_commands_from_votes(Cmd;notify;propose;f;es;e;e';n;r) ∈ Cmd List)
Proof
Definitions occuring in Statement :
new_23_sig_commands_from_votes: new_23_sig_commands_from_votes(Cmd;notify;propose;f;es;e;e';n;r),
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
Message: Message(f),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
list: T List,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
int: ℤ,
atom: Atom
Lemmas :
set_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
subtype_rel_dep_function,
name_wf,
vatype_wf,
es-le_wf,
event-ordering+_wf,
new_23_sig_headers_type_wf,
list_wf,
list-set-type2,
es-interval_wf,
l_all_iff,
l_member_wf,
member-es-interval,
mapfilter_wf,
new_23_sig_vote_with_ballot_first_wf,
eo-forward_wf,
member-eo-forward-E,
decidable__es-le,
equal_wf,
Id_wf,
es-loc_wf,
new_23_sig_vote_with_ballot_first-assert-type,
assert_wf,
eo-forward-has-es-info-type,
es-info-body_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[propose,notify:Atom List].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E].
\mforall{}[e':\{e':E| e \mleq{}loc e' \} ]. \mforall{}[n,r:\mBbbZ{}].
(new\_23\_sig\_commands\_from\_votes(Cmd;notify;propose;f;es;e;e';n;r) \mmember{} Cmd List)
Date html generated:
2015_07_23-PM-04_01_53
Last ObjectModification:
2015_01_29-AM-08_47_57
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