{ 
[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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