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Theorem ple-01
i < j, i0 ≤ j0 ⊦ i + i0 < j + j0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
notle-pos
,
Used by units in proved state:
int-mult
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
sub-add-01
,
sub-ls
,
sub-pred
,
succ-02
,
forward-le-05
,
le-def
,
Used spec theorems:
int-basic2
/
ex-ls-add
Used simplifier rules:
int-basic2
/
nls
int-basic2
/
add-zero-rev
int-basic1
/
lf-08
int-basic2
/
add-less
int-basic2
/
succ-01
int-basic1
/
lst-02
int-basic2
/
ls-add-both
int-basic2
/
ls-01
int-basic2
/
ls
int-basic1
/
ls-01
int-basic2
/
add-a
int-basic2
/
add-c