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Theorem sub-ls
⊦ i - j < i0 ↔ i < j + i0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
abs-10
,
abs-14
,
abs-15
,
abs-add-pos
,
abs-ls
,
abs-ls-04
,
abs-succ
,
absls
,
absls-01
,
absls-02
,
absls-05
,
absone-01
,
ex-le-add
,
minus-gr
,
neg-01
,
neg-05
,
neg-08
,
neg-13
,
negadd
,
numlef
,
numlef-01
,
numls-02
,
ple-01
,
sub-le-01
,
sub-ls-02
,
zero-not
,
Used by units in proved state:
int-mult
,
int-pot
,
int-gcd
,
int-div
,
intnat
,
int-min
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
elim-sub
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
ls-add-both
int-basic2
/
add-a
int-basic2
/
add-c
int-basic2
/
ls-01