{ [p:Pi_term]. (pi-subst-aux(p)  Name List  (Name  Name) List  Pi_term) }

{ Proof }



Definitions occuring in Statement :  pi-subst-aux: pi-subst-aux(p) pi_term: Pi_term name: Name uall: [x:A]. B[x] member: t  T function: x:A  B[x] product: x:A  B[x] list: type List
Definitions :  uall: [x:A]. B[x] member: t  T pi-subst-aux: pi-subst-aux(p) let: let so_lambda: so_lambda(x,y,z.t[x; y; z]) so_lambda: x y.t[x; y] top: Top all: x:A. B[x] subtype: S  T so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]) so_apply: x[s1;s2;s3] so_apply: x[s1;s2;s3;s4] so_apply: x[s1;s2] prop:
Lemmas :  pi_term_ind_wf name_wf pi_term_wf pizero_wf pi_prefix_ind_wf picomm_wf pisend_wf name-subst_wf ifthenelse_wf deq-member_wf name-deq_wf pircv_wf filter_wf bnot_wf name_eq_wf pi1_wf_top maybe-new_wf append_wf pi-names_wf not_wf l_member_wf pi_prefix_wf pioption_wf pipar_wf pirep_wf pinew_wf

\mforall{}[p:Pi\_term].  (pi-subst-aux(p)  \mmember{}  Name  List  {}\mrightarrow{}  (Name  \mtimes{}  Name)  List  {}\mrightarrow{}  Pi\_term)


Date html generated: 2011_08_17-PM-06_49_45
Last ObjectModification: 2011_06_18-PM-12_23_06

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