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Theorem div-twoodd-03
i < 0, 0 < j ⊦ (2 * i - 1) / (2 * j) = i / j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
div-two-intro
,
div-twoodd-04
,
div-twoodd-05
,
div-twoodd-07
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 4
Used lemmas:
neg-01
,
div-twoodd
,
nummult-ls
,
num-neg
,
Used spec theorems:
Used simplifier rules:
int-basic1
/
lf-02
int-abs
/
forward-le-05
int-basic1
/
lf-01
int-basic1
/
trans
int-abs
/
forward-le-02
int-abs
/
minus-02
int-abs
/
sub-eq
int-abs
/
Sub-def
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
neg-02
int-mult
/
minus-left
int-abs
/
neg-15
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
negeq
int-mult
/
zero-neq-01
int-abs
/
sub-ls
int-abs
/
lsone
int-abs
/
zero-gels-03
int-abs
/
negle-07
int-basic2
/
add-zero-rev