Nuprl Lemma : es-pplus-trivial
∀es:EO. ∀e1:E. ∀e2:{e:E| loc(e) = loc(e1) ∈ Id} .
∀[Q:{e:E| loc(e) = loc(e1) ∈ Id} ─→ {e:E| loc(e) = loc(e1) ∈ Id} ─→ ℙ]
(e1 ≤loc e2 ⇒ Q[e1;e2] ⇒ [e1,e2]~([a,b].Q[a;b])+)
Proof
Definitions occuring in Statement :
es-pplus: [e1,e2]~([a,b].p[a; b])+,
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2],
all: ∀x:A. B[x],
implies: P ⇒ Q,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
equal: s = t ∈ T
Lemmas :
es-pstar-q-trivial,
set_wf,
es-E_wf,
Id_wf,
es-loc_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} .
\mforall{}[Q:\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}]
(e1 \mleq{}loc e2 {}\mRightarrow{} Q[e1;e2] {}\mRightarrow{} [e1,e2]\msim{}([a,b].Q[a;b])+)
Date html generated:
2015_07_17-AM-08_54_55
Last ObjectModification:
2015_01_27-PM-01_13_45
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