Nuprl Lemma : double_neg_elim
(
P:
. (
P 
(
P))) 
(P:. ((P) (P)))
Proof
Definitions occuring in Statement :
prop: ,
all: x:A. B[x],
not: A,
squash: T,
implies: P Q,
or: P Q
Definitions :
implies: P Q,
all: x:A. B[x],
prop: ,
squash: T,
member: t 
T,
true: True,
so_lambda: 
x.t[x],
not: A,
false: False,
or: P Q,
uall: [x:A]. B[x],
so_apply: x[s]
Lemmas :
not_wf,
squash_wf,
all_wf,
or_wf
(\mforall{}P:\mBbbP{}. (\mdownarrow{}P \mvee{} (\mneg{}P))) {}\mRightarrow{} (\mforall{}P:\mBbbP{}. ((\mneg{}\mneg{}\mdownarrow{}P) {}\mRightarrow{} (\mdownarrow{}P)))
Date html generated:
2013_03_20-AM-10_48_51
Last ObjectModification:
2013_02_25-PM-04_58_24
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