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Theorem div-zero-ngr-01
⊦ 0 ≤ i ∧ j < 0 → ¬ 0 < i / j
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
abs
,
div-eq-same-01
,
div-nls-01
,
le-abs-numerator
,
zero
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
div-elim-posneg
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
succ-01
int-abs
/
forward-le-05
int-abs
/
forward-le-01
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
abs-08
int-abs
/
neg-07
int-abs
/
lels-03
int-abs
/
zero-gels-01
int-abs
/
zero-gels-04