Nuprl Lemma : new_23_sig_rounds_mem_fun
∀Cmd:ValueAllType. ∀notify,propose:Atom List. ∀f:new_23_sig_headers_type{i:l}(Cmd;notify;propose). ∀es:EO+(Message(f)).
∀e1,e2:E. ∀n,round:ℤ. ∀cmd:Cmd.
((e1 <loc e2)
⇒ <<n, round>, cmd> ∈ new_23_sig_RoundInfo(Cmd;notify;propose;f)(e1)
⇒ (round ≤ new_23_sig_NewRoundsStateFun(Cmd;notify;propose;f;n;es;e2)))
Proof
Definitions occuring in Statement :
new_23_sig_NewRoundsStateFun: new_23_sig_NewRoundsStateFun(Cmd;notify;propose;f;x;es;e),
new_23_sig_RoundInfo: new_23_sig_RoundInfo(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-locl: (e <loc e'),
es-E: E,
list: T List,
vatype: ValueAllType,
le: A ≤ B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
pair: <a, b>,
product: x:A × B[x],
int: ℤ,
atom: Atom
Lemmas :
new_23_sig_rounds_mem,
new_23_sig_NewRoundsStateFun_wf,
new_23_sig_NewRoundsState-classrel,
classrel_wf,
Message_wf,
subtype_rel_dep_function,
name_wf,
vatype_wf,
new_23_sig_RoundInfo_wf,
es-locl_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
new_23_sig_headers_type_wf,
list_wf,
valueall-type_wf
Latex:
\mforall{}Cmd:ValueAllType. \mforall{}notify,propose:Atom List. \mforall{}f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose).
\mforall{}es:EO+(Message(f)). \mforall{}e1,e2:E. \mforall{}n,round:\mBbbZ{}. \mforall{}cmd:Cmd.
((e1 <loc e2)
{}\mRightarrow{} <<n, round>, cmd> \mmember{} new\_23\_sig\_RoundInfo(Cmd;notify;propose;f)(e1)
{}\mRightarrow{} (round \mleq{} new\_23\_sig\_NewRoundsStateFun(Cmd;notify;propose;f;n;es;e2)))
Date html generated:
2015_07_23-PM-03_56_59
Last ObjectModification:
2015_01_29-AM-08_49_48
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