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

{ Proof }



Definitions occuring in Statement :  pi-rank: pi-rank(p) pirep-body: pirep-body(x) pirep?: pirep?(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 pirep?_wf pi_term_wf pi-rep-decompose rank-rep pirep-body_wf pi-rank_wf nat_wf

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


Date html generated: 2011_08_17-PM-06_48_01
Last ObjectModification: 2011_06_18-PM-12_20_06

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