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Theorem int-simp-04
⊦ i < i1 ∧ i2 < i3 → (i1 + i3 < i + i2 ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas:
numlsf-01
,
sub-ls-01
,
lsone
,
sub-ls
,
sub-add-01
,
sub-pred
,
le-def
,
mone-06
,
numls-02
,
numls-03
,
zero-gels-01
,
forward-le-02
,
forward-le-05
,
Used spec theorems:
int-basic2
/
ex-ls-add
Used simplifier rules:
int-basic2
/
ls-01
int-basic2
/
ls
int-basic1
/
forward-pos
int-basic2
/
zero-02
int-basic1
/
numlsf
int-basic2
/
succ-01
int-basic1
/
lst-02
int-basic2
/
add-zero-rev
int-basic2
/
add-a
int-basic2
/
add-c
int-basic1
/
ls-01