Nuprl Lemma : pv11_p1_valid-proposal-forward
∀[Cmd:{T:Type| valueall-type(T)} ]
∀f:pv11_p1_headers_type{i:l}(Cmd). ∀es:EO+(Message(f)). ∀e:E. ∀e':{e':E| e' ≤loc e } . ∀p:ℤ × Cmd.
(pv11_p1_valid-proposal(Cmd;es.e';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 :
eo-forward-causle-implies,
Message_wf,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
event-ordering+_subtype,
eo-forward_wf,
cons_wf_listp,
nil_wf,
listp_wf,
subtype_rel_weakening,
ext-eq_weakening,
eo-forward-E-subtype,
eo-forward-header,
eo-forward-has-es-info-type,
eo-forward-info-body,
base-classrel-equal
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{}e':\{e':E| e' \mleq{}loc e \} . \mforall{}p:\mBbbZ{} \mtimes{} Cmd.
(pv11\_p1\_valid-proposal(Cmd;es.e';e;p;f) {}\mRightarrow{} pv11\_p1\_valid-proposal(Cmd;es;e;p;f))
Date html generated:
2015_07_23-PM-05_03_54
Last ObjectModification:
2015_01_29-AM-09_48_35
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