Nuprl Lemma : primed-class-opt_eq_class-opt-primed
[Info,T:Type]. [b:Id 
bag(T)]. [X:EClass(T)]. (Prior(X)?b = Prior(X)?b)
Proof not projected
Definitions occuring in Statement :
class-opt: X?b,
primed-class-opt: Prior(X)?b,
primed-class: Prior(X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: [x:A]. B[x],
function: x:A B[x],
universe: Type,
equal: s = t,
bag: bag(T)
Definitions :
eclass: EClass(A[eo; e]),
primed-class-opt: Prior(X)?b,
class-opt: X?b,
primed-class: Prior(X),
member: t 
T,
all: x:A. B[x],
or: P 
Q,
sq_exists: 
x:{A| B[x]},
and: P 
Q,
implies: P 
Q,
cand: A c B,
prop: 
,
so_lambda: 
x y.t[x; y],
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
iff: P 
Q,
rev_implies: P Q,
squash: 
T,
true: True,
uall: [x:A]. B[x],
nat: 
,
so_apply: x[s1;s2],
bool: 
,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
lt_int: i <z j,
assert: 
b,
false: False,
not: 
A,
subtype: S 
T,
it: 
Lemmas :
es-E_wf,
event-ordering+_inc,
lt_int_wf,
bag-size_wf,
nat_wf,
es-local-pred_wf,
es-locl_wf,
assert_wf,
not_wf,
es-loc_wf,
eclass_wf,
event-ordering+_wf,
Id_wf,
bag_wf,
bag-null_wf,
empty-bag_wf,
bool_wf,
bnot_wf,
uiff_transitivity,
eqtt_to_assert,
assert-bag-null,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff,
squash_wf,
true_wf
\mforall{}[Info,T:Type]. \mforall{}[b:Id {}\mrightarrow{} bag(T)]. \mforall{}[X:EClass(T)]. (Prior(X)?b = Prior(X)?b)
Date html generated:
2011_10_20-PM-03_23_30
Last ObjectModification:
2011_08_17-PM-06_17_31
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