{ 
[env:E#Env]. 
[x:Atom].
    esharp-base(env;x) 
 {dv:ClassDerivation| WF(dv) 
 (||cdv-types(dv)|| = 1)} \000C 
    supposing 
esharp-base-wf(env;x) }
{ Proof }
Definitions occuring in Statement : 
esharp-base: esharp-base(env;x), 
esharp-base-wf: esharp-base-wf(env;x), 
esharp-env: E#Env, 
cdv-wf: WF(dv), 
cdv-types: cdv-types(dv), 
classderiv: ClassDerivation, 
length: ||as||, 
assert:
b, 
uimplies: b supposing a, 
uall:
[x:A]. B[x], 
and: P 
 Q, 
member: t 
 T, 
set: {x:A| B[x]} , 
natural_number: $n, 
int:
, 
atom: Atom, 
equal: s = t
Definitions : 
uall:
[x:A]. B[x], 
uimplies: b supposing a, 
assert:
b, 
esharp-base-wf: esharp-base-wf(env;x), 
member: t 
 T, 
and: P 
 Q, 
cdv-wf: WF(dv), 
length: ||as||, 
cdv-types: cdv-types(dv), 
esharp-base: esharp-base(env;x), 
btrue: tt, 
bfalse: ff, 
outl: outl(x), 
outr: outr(x), 
all:
x:A. B[x], 
implies: P 
 Q, 
ifthenelse: if b then t else f fi , 
true: True, 
ycomb: Y, 
esharp-env: E#Env, 
prop:
, 
false: False
Lemmas : 
apply-alist_wf, 
atom-deq_wf, 
base-deriv_wf, 
combinator-def_wf, 
classderiv_wf, 
cdv-wf_wf, 
length_wf1, 
cdv-types_wf, 
unit_wf, 
cdvbase_wf, 
true_wf, 
false_wf, 
assert_wf, 
esharp-base-wf_wf, 
esharp-env_wf
\mforall{}[env:E\#Env].  \mforall{}[x:Atom].
    esharp-base(env;x)  \mmember{}  \{dv:ClassDerivation|  WF(dv)  \mwedge{}  (||cdv-types(dv)||  =  1)\}   
    supposing  \muparrow{}esharp-base-wf(env;x)
Date html generated:
2011_08_17-PM-04_31_45
Last ObjectModification:
2011_06_18-AM-11_43_04
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