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]
Lemmas :
pi_term_ind_wf_simple,
list_wf,
pi_prefix_wf,
pi_term_wf,
nil_wf,
cons_wf,
append_wf,
name_wf
Latex:
\mforall{}[t:pi\_term()]. (pi-choices(t) \mmember{} (pi\_prefix() \mtimes{} pi\_term()) List)
Date html generated:
2015_07_23-AM-11_33_56
Last ObjectModification:
2015_01_29-AM-00_54_44
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