{ [P,Q:Pi_term].  (pi-rank((P | Q)) = ((pi-rank(P) + pi-rank(Q)) + 1)) }

{ Proof }



Definitions occuring in Statement :  pi-rank: pi-rank(p) pipar: (left | right) pi_term: Pi_term 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

\mforall{}[P,Q:Pi\_term].    (pi-rank((P  |  Q))  =  ((pi-rank(P)  +  pi-rank(Q))  +  1))


Date html generated: 2011_08_17-PM-06_47_34
Last ObjectModification: 2011_06_18-PM-12_19_18

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