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Theorem absls-05
⊦ abs(r) ≤ abs(r + ~ 1.r) ↔ r + r ≤ 1.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: 3
Proof steps: 7
Used lemmas:
Abs-neg
,
Abs-pos
,
le-def
,
Used spec theorems:
Used simplifier rules:
real-basic
/
add-comm
real-basic
/
add-assoc
real-basic
/
neg-08
real-basic
/
negladd-ls
real-basic
/
double-neg
real-basic
/
neg-add
real-basic
/
sub-eq-01
real-basic
/
ls-num
real-basic
/
trans
real-basic
/
ls-02
real-basic
/
bls-01
real-basic
/
negradd-ls
real-basic
/
lf-04
real-basic
/
lf-08
real-basic
/
blst-02