Nuprl Lemma : new_23_sig_proposal_classrel
∀[Cmd:ValueAllType]
∀propose:Atom List
∀[notify:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀es:EO+(Message(f)). ∀e:E.
∀[nc:ℤ × Cmd]
uiff(nc ∈ new_23_sig_Proposal(Cmd;notify;propose;f)(e);nc ∈ new_23_sig_propose'base(Cmd;notify;propose;f)(e)
∨ nc ∈ (new_23_sig_vote2prop(Cmd) o 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_vote2prop: new_23_sig_vote2prop(Cmd),
new_23_sig_propose'base: new_23_sig_propose'base(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),
eclass0: (f o X),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
list: T List,
vatype: ValueAllType,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
or: P ∨ Q,
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,
parallel-classrel,
new_23_sig_propose'base_wf,
eclass0_wf,
new_23_sig_vote'base_wf,
new_23_sig_vote2prop_wf,
decidable__equal_name,
es-header_wf,
classrel_wf,
Message_wf,
subtype_rel_dep_function,
new_23_sig_Proposal_wf,
or_wf,
Id_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
new_23_sig_headers_type_wf,
list_wf,
valueall-type_wf,
sq_stable__classrel,
eclass0-classrel,
base-noloc-classrel,
subtype_rel_weakening,
ext-eq_weakening,
length_of_cons_lemma,
length_of_nil_lemma,
false_wf,
le_wf,
not_wf,
less_than_wf,
nat_wf
Latex:
\mforall{}[Cmd:ValueAllType]
\mforall{}propose:Atom List
\mforall{}[notify:Atom List]. \mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].
\mforall{}es:EO+(Message(f)). \mforall{}e:E.
\mforall{}[nc:\mBbbZ{} \mtimes{} Cmd]
uiff(nc \mmember{} new\_23\_sig\_Proposal(Cmd;notify;propose;f)(
e);nc \mmember{} new\_23\_sig\_propose'base(Cmd;notify;propose;f)(e)
\mvee{} nc \mmember{} (new\_23\_sig\_vote2prop(Cmd) o new\_23\_sig\_vote'base(Cmd;notify;propose;f))(e))
Date html generated:
2015_07_23-PM-03_58_50
Last ObjectModification:
2015_02_04-PM-01_28_16
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