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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