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Theorem square-ls
⊦ dec * dec < dec0 * dec0 ↔ abs(dec) < abs(dec0)
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
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 21
Used lemmas:
abs-any-def
,
ls-not
,
less-def-any
,
mult-def-any
,
Used spec theorems:
Unknown
/
Unknown
int-abs
/
Abs-pos
Used simplifier rules:
int-basic2
/
add-c
int-basic2
/
add-a
int-mult
/
add-mult-two
int-abs
/
abs-01
int-abs
/
lels
int-abs
/
abs-03
int-mult
/
abs-eqall
int-mult
/
square-ls
int-abs
/
neg-13
int-abs
/
abs-08
int-mult
/
minus-left
int-mult
/
associativity
int-mult
/
commutativity
int-abs
/
neg-07
int-pot
/
notneg-02