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Theorem absls-02
⊦ r ≤ 0.r ∧ r0 ≤ 0.r → (abs(r) < abs(r0) ↔ r0 < r)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
absle-01
,
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-pos
,
Abs-neg
,
le-def
,
Used spec theorems:
Used simplifier rules:
real-basic
/
blst-02
real-basic
/
neg-02
real-basic
/
bls-01
real-basic
/
negl-ls
real-basic
/
blst
real-basic
/
lf-03
real-basic
/
trans
real-basic
/
lf-02
real-basic
/
add-zero
real-basic
/
add-assoc
real-basic
/
add-comm
real-basic
/
neg-09