Nuprl Lemma : pi-system-example_wf
∀[P:pi_term()]. (pi-system-example{$a,$b,$c,$d,$e,$f,$g,$h,$i,$j,$k}(P) ∈ System(P.piM(P)))
Proof
Definitions occuring in Statement : 
pi-system-example: pi-system-example{$l_server,$l_choose,$l_comm,$l_pi,$a,$b,$c,$d,$e,$f,$g}(P)
, 
piM: piM(T)
, 
pi_term: pi_term()
, 
System: System(P.M[P])
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
pi-system-example: pi-system-example{$l_server,$l_choose,$l_comm,$l_pi,$a,$b,$c,$d,$e,$f,$g}(P)
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
mkid: "$x"
, 
Id: Id
, 
subtype_rel: A ⊆r B
, 
nat: ℕ
, 
le: A ≤ B
, 
and: P ∧ Q
, 
less_than': less_than'(a;b)
, 
false: False
, 
not: ¬A
, 
implies: P 
⇒ Q
, 
prop: ℙ
, 
all: ∀x:A. B[x]
, 
guard: {T}
, 
ge: i ≥ j 
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
uiff: uiff(P;Q)
, 
uimplies: b supposing a
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
exists: ∃x:A. B[x]
, 
top: Top
, 
ten-locs: ten-locs{$l_server,$l_choose,$l_comm,$l_pi,$a1,$a2,$a3,$a4,$a5,$a6,$a7}()
Latex:
\mforall{}[P:pi\_term()].  (pi-system-example\{\$a,\$b,\$c,\$d,\$e,\$f,\$g,\$h,\$i,\$j,\$k\}(P)  \mmember{}  System(P.piM(P)))
Date html generated:
2016_05_17-AM-11_35_32
Last ObjectModification:
2016_01_18-AM-07_46_28
Theory : event-logic-applications
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