Nuprl Lemma : pi-choices_wf

∀[t:pi_term()]. (pi-choices(t) ∈ (pi_prefix() × pi_term()) List)


Proof




Definitions occuring in Statement :  pi-choices: pi-choices(t),  pi_term: pi_term(),  pi_prefix: pi_prefix(),  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  product: x:A × B[x]
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  pi-choices: pi-choices(t),  so_lambda: so_lambda(x,y,z.t[x; y; z]),  so_apply: x[s1;s2;s3],  so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]),  so_apply: x[s1;s2;s3;s4],  so_lambda: λ2x y.t[x; y],  so_apply: x[s1;s2]

Latex:
\mforall{}[t:pi\_term()].  (pi-choices(t)  \mmember{}  (pi\_prefix()  \mtimes{}  pi\_term())  List)



Date html generated: 2016_05_17-AM-11_25_48
Last ObjectModification: 2015_12_29-PM-06_53_01

Theory : event-logic-applications


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