Nuprl Lemma : monus_wf
[a,b:
]. ((a--b) 
)
Proof
Definitions occuring in Statement :
monus: (a--b),
nat: ,
uall: [x:A]. B[x],
member: t T,
int:
Definitions :
uall: [x:A]. B[x],
member: t T,
nat: ,
monus: (a--b),
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
le: A 
B,
not: 
A,
false: False,
bfalse: ff,
bool: 
,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
prop: 
,
and: P 
Q,
guard: {T},
it: 
Lemmas :
lt_int_wf,
bool_wf,
uiff_transitivity,
equal_wf,
assert_wf,
less_than_wf,
eqtt_to_assert,
assert_of_lt_int,
le_wf,
le_int_wf,
bnot_wf,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int,
Error :zero-le-nat
\mforall{}[a,b:\mBbbZ{}]. ((a--b) \mmember{} \mBbbN{})
Date html generated:
2013_03_20-AM-10_37_54
Last ObjectModification:
2013_03_16-AM-06_26_25
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