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7
proposition
justification
b a
0
a
b
algebra
b
a is positive
a
b
definition
( b
a ) is positive
a
bra
b is positivealge
b
a
definition
b
a
0or b
a is positiveor
trichotomy
( b
a ) is positive
b
a
0or a
b or b
a
from above
8
proposition
justification
a
b
given
finition
b
a is positivede
( b
c )
( a
c ) is positivealge
bra
a
c
b
c
definition
9
proposition
justification
a
b
given
finition
b
a is positivede
b c
given
finition
c b is positivede
( b a ) ( c b ) is positiveclosure
r addition
unde
bra
c a is positivealge
a c
definition
10
proposition
justification
a b
given
b a is positivede
finition
c d
given
finition
d c is positivede
( b
a )
( d
c ) is positiveclosure
r addition
unde
( b
d )
( a
c ) is positivealge
bra
a
c
b
d
definition
 
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