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Theorem numle-07
⊦ (* i1) * j ≤ j ↔ 0 ≤ (1 - i1) * j
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
int-pot
,
int-gcd
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas:
zero-ls
,
zero-left
,
le-same-02
,
associativity
,
zero-ls-03
,
le-same
,
commutativity
,
Used spec theorems:
int-abs
/
le-def
Used simplifier rules:
int-abs
/
sub-ls
int-abs
/
lsone
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
add-zero-rev
int-abs
/
sub-ls-01
int-abs
/
leone
int-abs
/
lenls
int-abs
/
zero-gels-03
int-abs
/
lels
int-abs
/
zero-gels-04
int-abs
/
forward-le-04
int-basic1
/
lf-02
int-abs
/
forward-le-02
int-abs
/
anti
int-abs
/
lels-01