Nuprl Lemma : new_23_sig_proposal_if_vote
∀[Cmd:ValueAllType]. ∀[propose,notify:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀[es:EO+(Message(f))]. ∀[e:E]. ∀[n:ℤ]. ∀[c:Cmd]. ∀[r:ℤ]. ∀[i:Id].
<n, c> ∈ new_23_sig_Proposal(Cmd;notify;propose;f)(e)
supposing <<<n, r>, c>, i> ∈ new_23_sig_vote'base(Cmd;notify;propose;f)(e)
Proof
Definitions occuring in Statement :
new_23_sig_Proposal: new_23_sig_Proposal(Cmd;notify;propose;f),
new_23_sig_vote'base: new_23_sig_vote'base(Cmd;notify;propose;f),
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
Message: Message(f),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
list: T List,
vatype: ValueAllType,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
pair: <a, b>,
product: x:A × B[x],
int: ℤ,
atom: Atom
Lemmas :
sq_stable__and,
equal_wf,
vatype_wf,
cons_wf_listp,
cons_wf,
nil_wf,
listp_wf,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
new_23_sig_headers_wf,
l_all_iff,
l_member_wf,
new_23_sig_headers_fun_wf,
cons_member,
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,
classrel_wf,
new_23_sig_vote'base_wf,
Id_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
new_23_sig_headers_type_wf,
list_wf,
set_wf,
valueall-type_wf,
parallel-classrel,
new_23_sig_propose'base_wf,
eclass0_wf,
new_23_sig_vote2prop_wf,
eclass0-classrel,
bag-member-single,
bag-member_wf,
es-loc_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{}[n:\mBbbZ{}].
\mforall{}[c:Cmd]. \mforall{}[r:\mBbbZ{}]. \mforall{}[i:Id].
<n, c> \mmember{} new\_23\_sig\_Proposal(Cmd;notify;propose;f)(e)
supposing <<<n, r>, c>, i> \mmember{} new\_23\_sig\_vote'base(Cmd;notify;propose;f)(e)
Date html generated:
2015_07_23-PM-03_58_58
Last ObjectModification:
2015_02_04-PM-03_56_49
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