{ [P:Pi_term]. pi-rank(P) = (pi-rank(pinew-body(P)) + 1) supposing pinew?(P) }

{ Proof }



Definitions occuring in Statement :  pi-rank: pi-rank(p),  pinew-body: pinew-body(x),  pinew?: pinew?(x),  pi_term: Pi_term,  assert: b,  nat: ,  uimplies: b supposing a,  uall: [x:A]. B[x],  add: n + m,  natural_number: $n,  equal: s = t
Definitions :  uall: [x:A]. B[x],  uimplies: b supposing a,  member: t  T,  prop: ,  and: P  Q
Lemmas :  assert_wf,  pinew?_wf,  pi_term_wf,  pi-new-decompose,  rank-new,  pinew-name_wf,  pinew-body_wf,  pi-rank_wf,  nat_wf

\mforall{}[P:Pi\_term].  pi-rank(P)  =  (pi-rank(pinew-body(P))  +  1)  supposing  \muparrow{}pinew?(P)


Date html generated: 2011_08_17-PM-06_48_18
Last ObjectModification: 2011_06_18-PM-12_20_38

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