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Theorem abs-sub-01
⊦ i + 1 ≠ j ∧ i < j → ¬ abs(j - i) ≤ abs(j - (i + 1) + 1)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 9
Used lemmas:
lels-03
,
mone-06
,
Abs-pos
,
numls-03
,
sub-add
,
numls-02
,
numadd-01
,
elim-sub
,
le-def
,
Used spec theorems:
int-basic1
/
lst-01
Used simplifier rules:
int-basic2
/
add-in
int-basic1
/
ls-01
int-basic2
/
ls-02
int-basic2
/
add-a
int-basic2
/
add-c
int-basic1
/
minus-one