{ [P:Pi_term]. [pre:pi_prefix()].  (pi-rank(pre.P) = (pi-rank(P) + 1)) }

{ Proof }



Definitions occuring in Statement :  pi-rank: pi-rank(p) picomm: pre.body pi_term: Pi_term pi_prefix: pi_prefix() 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_prefix_wf pi_term_wf

\mforall{}[P:Pi\_term].  \mforall{}[pre:pi\_prefix()].    (pi-rank(pre.P)  =  (pi-rank(P)  +  1))


Date html generated: 2011_08_17-PM-06_46_59
Last ObjectModification: 2011_06_18-PM-12_18_14

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