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Theorem div-sum-ls-01
⊦ 0 < i ∧ 0 < i1 ∧ 0 < j1 ∧ 0 < j2 ∧ 0 < j ∧ j1 < j ∧ j2 < j → (i * j1 + i1 * j2) / j < i + i1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas:
div-sum-ls
,
Used spec theorems:
Used simplifier rules:
int-abs
/
lels
int-basic2
/
zero-02
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lenls
int-basic1
/
forward-pos
int-abs
/
forward-le-05
int-basic1
/
lf-01
int-abs
/
lels-01
int-basic1
/
ls-01