Nuprl Lemma : imax_ge_left
a,b:
. (imax(a;b) 
a )
Proof
Definitions occuring in Statement :
imax: imax(a;b),
ge: i j ,
all: x:A. B[x],
int:
Definitions :
all: x:A. B[x],
member: t 
T,
imax: imax(a;b),
implies: P 
Q,
btrue: tt,
ifthenelse: if b then t else f fi ,
ge: i j ,
bfalse: ff,
exists: 
x:A. B[x],
subtype_rel: A 
r B,
not: 
A,
false: False,
le: A 
B,
decidable: Dec(P),
or: P 
Q,
uall: [x:A]. B[x],
uimplies: b supposing a,
bool: 
,
unit: Unit,
uiff: uiff(P;Q),
and: P 
Q,
sq_type: SQType(T),
guard: {T},
bnot: 
b,
assert: 
b,
has-value: (a)
,
it: 
,
prop: 
Lemmas :
decidable__le,
value-type-has-value,
int-value-type,
le_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_le_int,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
le_wf
\mforall{}a,b:\mBbbZ{}. (imax(a;b) \mgeq{} a )
Date html generated:
2014_03_27-PM-01_47_57
Last ObjectModification:
2013_10_25-AM-10_59_33
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