{ [v:Name]. [P:Pi_term].  (pi-rank((new v. P)) = (pi-rank(P) + 1)) }

{ Proof }



Definitions occuring in Statement :  pi-rank: pi-rank(p) pinew: (new name. body) pi_term: Pi_term name: Name nat: uall: [x:A]. B[x] add: n + m natural_number: $n equal: s = t
Definitions :  uall: [x:A]. B[x] pi-rank: pi-rank(p) member: t  T nat:
Lemmas :  pi-rank_wf nat_wf pi_term_wf name_wf

\mforall{}[v:Name].  \mforall{}[P:Pi\_term].    (pi-rank((new  v.  P))  =  (pi-rank(P)  +  1))


Date html generated: 2011_08_17-PM-06_48_09
Last ObjectModification: 2011_06_18-PM-12_20_22

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