Nuprl Lemma : pv11_p1_valid-proposal-transitivity-forward
∀[Cmd:{T:Type| valueall-type(T)} ]
∀f:pv11_p1_headers_type{i:l}(Cmd). ∀es:EO+(Message(f)). ∀e:E. ∀p:ℤ × Cmd. ∀e':{e':E| e' ≤loc e } . ∀e1:{e1:E|
e1 ≤loc e' } .
(pv11_p1_valid-proposal(Cmd;es.e1;e';p;f) ⇒ pv11_p1_valid-proposal(Cmd;es;e;p;f))
Proof
Definitions occuring in Statement :
pv11_p1_valid-proposal: pv11_p1_valid-proposal(Cmd;es;e;p;f),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
Message: Message(f),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
valueall-type: valueall-type(T),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
set: {x:A| B[x]} ,
product: x:A × B[x],
int: ℤ,
universe: Type
Lemmas :
sq_stable__and,
equal_wf,
cons_wf_listp,
nil_wf,
listp_wf,
vatype_wf,
cons_wf,
pv11_p1_Ballot_Num_wf,
list_wf,
equal-wf-T-base,
Id_wf,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
pv11_p1_headers_wf,
l_all_iff,
l_member_wf,
pv11_p1_headers_fun_wf,
cons_member,
equal-wf-base,
iff_weakening_equal,
pv11_p1_valid-proposal_wf,
eo-forward_wf,
member-eo-forward-E,
es-loc_wf,
set_wf,
es-le_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
pv11_p1_headers_type_wf,
valueall-type_wf,
eo-forward-E-subtype,
es-causle_wf,
classrel_wf,
pv11_p1_propose'base_wf,
eo-forward-causle,
decidable__es-le,
es-le_transitivity,
sq_stable__es-causle,
es-causle_weakening_locl,
es-causle_transitivity,
eo-forward-E-member,
base-classrel-equal,
subtype_rel_weakening,
ext-eq_weakening,
eo-forward-info,
eo-forward-has-es-info-type,
eo-forward-info-body
Latex:
\mforall{}[Cmd:\{T:Type| valueall-type(T)\} ]
\mforall{}f:pv11\_p1\_headers\_type\{i:l\}(Cmd). \mforall{}es:EO+(Message(f)). \mforall{}e:E. \mforall{}p:\mBbbZ{} \mtimes{} Cmd. \mforall{}e':\{e':E| e' \mleq{}loc e \} .
\mforall{}e1:\{e1:E| e1 \mleq{}loc e' \} .
(pv11\_p1\_valid-proposal(Cmd;es.e1;e';p;f) {}\mRightarrow{} pv11\_p1\_valid-proposal(Cmd;es;e;p;f))
Date html generated:
2015_07_23-PM-05_03_58
Last ObjectModification:
2015_02_04-AM-07_50_42
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