Nuprl Lemma : vr_AC1toPEM
(vr_AC1 
vr_ExtFun) 
vr_PEM
Proof not projected
Definitions occuring in Statement :
vr_ExtFun: vr_ExtFun,
vr_PEM: vr_PEM,
vr_AC1: vr_AC1,
implies: P Q,
and: P Q
Definitions :
or: P 
Q,
function: x:A 
B[x],
all: 
x:A. B[x],
vr_PEM: vr_PEM,
product: x:A 
B[x],
vr_AC1: vr_AC1,
and: P Q,
equal: s = t,
member: t 
T,
vr_ExtFun: vr_ExtFun,
universe: Type,
implies: P Q,
union: left + right,
not: 
A,
prop: 
,
exists: 
x:A. B[x],
iff: P 
Q,
apply: f a,
nat: 
,
natural_number: $n,
lambda: 
x.A[x],
limited-type: LimitedType,
isect: 
x:A. B[x],
uall: [x:A]. B[x],
int: 
,
subtype: S 
T,
rationals: 
,
real: 
,
set: {x:A| B[x]} ,
le: A 
B,
false: False,
void: Void,
less_than: a < b,
subtype_rel: A r B,
uiff: uiff(P;Q),
uimplies: b supposing a,
ge: i 
j ,
strong-subtype: strong-subtype(A;B),
p-outcome: Outcome,
rev_implies: P Q,
vr_equi-pred: X ~~ Y,
squash: 
T,
true: True,
fpf: a:A fp-> B[a],
pair: <a, b>,
eclass: EClass(A[eo; e])
Lemmas :
rev_implies_wf,
vr_equi-pred_wf,
iff_wf,
nat_wf,
member_wf,
false_wf,
le_wf,
not_wf,
vr_ExtFun_wf,
vr_AC1_wf
(vr\_AC1 \mwedge{} vr\_ExtFun) {}\mRightarrow{} vr\_PEM
Date html generated:
2012_02_20-PM-03_35_31
Last ObjectModification:
2012_02_02-PM-01_55_45
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