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Theorem negate
⊦ 0 < j → rational(~ i, j) = ~ rational(i, j)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
div-def-01
,
negate-01
,
num-neg-03
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 11
Used lemmas:
make
,
denominator-zero
,
numerator-zero
,
zero-def
,
sub-def
,
neg-def
,
denom-neg-01
,
num-neg-01
,
Equality
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
neg-03
int-abs
/
neg-06
int-mult
/
one
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
Mult-zero
int-abs
/
negeq
int-abs
/
forward-le-05