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
Lemmas :
apply-alist_wf,
nat_wf,
nat-deq_wf,
length_wf,
Id_wf,
zero-le-nat,
non_neg_length,
length_wf_nat,
le_wf,
cons_wf,
false_wf,
nil_wf,
subtype_rel_sum,
unit_wf2,
top_wf
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:
2015_07_23-AM-11_59_40
Last ObjectModification:
2015_01_29-AM-07_42_06
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