Nuprl Lemma : scrap1
C:
. T:Type. P:T 
. (((
a:T. True) 
((b:T. (
(P b))) 
C)) 
(b:T. (((P b)) C)))
Proof
Definitions occuring in Statement :
prop: ,
all: x:A. B[x],
exists: x:A. B[x],
not: A,
implies: P Q,
or: P Q,
and: P Q,
true: True,
apply: f a,
function: x:A B[x],
universe: Type
Definitions :
so_lambda: 
x.t[x],
member: t 
T,
or: P Q,
exists: x:A. B[x],
and: P Q,
implies: P Q,
prop: ,
all: x:A. B[x],
guard: {T},
so_apply: x[s],
uall: [x:A]. B[x]
Lemmas :
not_wf,
or_wf,
true_wf,
exists_wf
\mforall{}C:\mBbbP{}. \mforall{}T:Type. \mforall{}P:T {}\mrightarrow{} \mBbbP{}. (((\mexists{}a:T. True) \mwedge{} ((\mexists{}b:T. (\mneg{}(P b))) \mvee{} C)) {}\mRightarrow{} (\mexists{}b:T. ((\mneg{}(P b)) \mvee{} C)))
Date html generated:
2013_03_20-AM-09_54_59
Last ObjectModification:
2012_11_27-AM-10_33_32
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