Nuprl Lemma : es-pplus_wf
∀[es:EO]. ∀[e1:E]. ∀[e2:{e:E| loc(e) = loc(e1) ∈ Id} ]. ∀[p:{e:E| loc(e) = loc(e1) ∈ Id}
⟶ {e:E| loc(e) = loc(e1) ∈ Id}
⟶ ℙ].
([e1,e2]~([a,b].p[a;b])+ ∈ ℙ)
Proof
Definitions occuring in Statement :
es-pplus: [e1,e2]~([a,b].p[a; b])+,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
es-pplus: [e1,e2]~([a,b].p[a; b])+,
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[es:EO]. \mforall{}[e1:E]. \mforall{}[e2:\{e:E| loc(e) = loc(e1)\} ]. \mforall{}[p:\{e:E| loc(e) = loc(e1)\}
{}\mrightarrow{} \{e:E| loc(e) = loc(e1)\}
{}\mrightarrow{} \mBbbP{}].
([e1,e2]\msim{}([a,b].p[a;b])+ \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-09_56_47
Last ObjectModification:
2015_12_28-PM-09_31_04
Theory : new!event-ordering
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