Nuprl Lemma : TR3a
[T:Type]. [P:T 
]. [C:]. ((C 
(
C)) 
(
x:T. True) (C (x:T. (P x))) (x:T. (C (P x))))
Proof
Definitions occuring in Statement :
uall: [x:A]. B[x],
prop: ,
exists: x:A. B[x],
not: A,
implies: P Q,
or: P Q,
true: True,
apply: f a,
function: x:A B[x],
universe: Type
Definitions :
implies: P Q,
member: t 
T,
prop: ,
so_lambda: 
x.t[x],
exists: x:A. B[x],
subtype_rel: A 
r B,
uall: [x:A]. B[x],
so_apply: x[s],
or: P Q,
not: A,
false: False
Lemmas :
exists_wf,
true_wf,
or_wf,
not_wf
\mforall{}[T:Type]. \mforall{}[P:T {}\mrightarrow{} \mBbbP{}]. \mforall{}[C:\mBbbP{}].
((C \mvee{} (\mneg{}C)) {}\mRightarrow{} (\mexists{}x:T. True) {}\mRightarrow{} (C {}\mRightarrow{} (\mexists{}x:T. (P x))) {}\mRightarrow{} (\mexists{}x:T. (C {}\mRightarrow{} (P x))))
Date html generated:
2014_07_17-AM-09_55_33
Last ObjectModification:
2014_06_17-PM-00_03_47
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