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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