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Theorem zero-not
⊦ abs(r) < r0 ∧ r0 ≤ abs(r1) → r + r1 ≠ 0.r
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 5
Used lemmas:
abs-06
,
Abs-pos
,
abs-16
,
Abs-neg
,
le-def
,
Used spec theorems:
Used simplifier rules:
real-basic
/
lf-07
real-basic
/
negl-ls
real-basic
/
lst-02
real-basic
/
lf-03
real-basic
/
trans
real-basic
/
lf-02
real-basic
/
less-add-cancel-l
real-basic
/
lst-01
real-basic
/
ls-02
real-basic
/
neq-01
real-basic
/
add-assoc
real-basic
/
add-comm
real-basic
/
lf-04
real-basic
/
zero-06
real-basic
/
negr-ls
real-basic
/
lf-08
real-basic
/
lst-04
real-basic
/
add-less
real-basic
/
ls
real-basic
/
ls-num