{ 
[P:Pi_term]. P = (new pinew-name(P). pinew-body(P)) supposing 
pinew?(P) }
{ Proof }
Definitions occuring in Statement : 
pinew-body: pinew-body(x), 
pinew-name: pinew-name(x), 
pinew?: pinew?(x), 
pinew: (new name. body), 
pi_term: Pi_term, 
assert:
b, 
uimplies: b supposing a, 
uall:
[x:A]. B[x], 
equal: s = t
Definitions : 
uall:
[x:A]. B[x], 
pi_term: Pi_term, 
uimplies: b supposing a, 
pinew?: pinew?(x), 
pinew: (new name. body), 
pinew-name: pinew-name(x), 
pinew-body: pinew-body(x), 
member: t 
 T, 
squash:
T, 
true: True, 
unit: Unit, 
false: False, 
implies: P 
 Q, 
prop:
, 
it:
, 
pizero: 0, 
not:
A, 
picomm: pre.body, 
pioption: (left + right), 
pipar: (left | right), 
pirep: !body
Lemmas : 
pi_term_wf, 
btrue_neq_bfalse, 
assert_wf, 
pinew?_wf, 
pizero_wf, 
picomm_wf, 
pioption_wf, 
pipar_wf, 
pirep_wf, 
pinew_wf, 
assert_elim, 
bfalse_wf, 
squash_wf, 
true_wf, 
name_wf
\mforall{}[P:Pi\_term].  P  =  (new  pinew-name(P).  pinew-body(P))  supposing  \muparrow{}pinew?(P)
Date html generated:
2011_08_17-PM-06_46_01
Last ObjectModification:
2011_06_18-PM-12_16_38
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