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Theorem mult-ls-01
⊦ 0 < j ∧ i0 < i / j → i0 * j < i
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
div-le-modzero-01
,
div-ls-modzero
,
nummult-ls-01
,
nummult-ls-01-01
,
square-interval
,
Used by units in proved state:
intnat
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas:
div-elim-pos
,
div-elim2
,
Used spec theorems:
int-mult
/
modlep-02
Used simplifier rules:
int-abs
/
zero-gels-01
int-basic2
/
lst-03
int-basic2
/
succ-01
int-abs
/
forward-le-04
int-abs
/
forward-le-02
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
forward-lels
int-mult
/
zero-ge
int-abs
/
forward-lele
int-abs
/
lels
int-abs
/
zero-gels-04
int-abs
/
forward-le-05
int-abs
/
forward-le-01
int-basic2
/
add-c
int-basic2
/
add-a
int-mult
/
associativity
int-mult
/
zero-ge-add
int-abs
/
lels-03
int-mult
/
commutativity
int-abs
/
absle