Nuprl Lemma : pi-subst_wf
∀[x,t:Name]. ∀[p:pi_term()].  (pi-subst(t;x;p) ∈ pi_term())
Proof
Definitions occuring in Statement : 
pi-subst: pi-subst(t;x;p)
, 
pi_term: pi_term()
, 
name: Name
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Lemmas : 
pi-subst-aux_wf, 
cons_wf, 
pi-names_wf, 
nil_wf, 
pi_term_wf, 
name_wf
Latex:
\mforall{}[x,t:Name].  \mforall{}[p:pi\_term()].    (pi-subst(t;x;p)  \mmember{}  pi\_term())
Date html generated:
2015_07_23-AM-11_33_46
Last ObjectModification:
2015_01_29-AM-00_54_38
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