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Theorem mods-ls-04
⊦ j0 < j ∧ 0 ≤ i ∧ 0 ≤ i0 ∧ 0 ≤ j0 → (i * j + j0 < i0 * j ↔ i < i0)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by:
Used by units in proved state:
int-pot
,
int-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
commutativity
,
modlsp-02
,
mods-ls-02
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
forward-lels
int-abs
/
lels
int-abs
/
zero-gels-04
int-abs
/
anti
int-abs
/
ler
int-basic2
/
ls
int-abs
/
lenls
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
absle