{ [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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