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Theorem abs-eqall
⊦ abs(r * r0) = abs(r) * abs(r0)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
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: 9
Used lemmas:
eq-nonzero
,
neq-not-zero
,
zero-ge-02
,
zero-neq
,
zero-ge-01
,
zero-ls-02
,
mult-com
,
mult-ass
,
zero-ls-01
,
eq-neg
,
minus-left
,
abs-ite
,
Used spec theorems:
Used simplifier rules:
real-basic
/
negeq
real-abs
/
lels
real-basic
/
neg
real-basic
/
add-assoc
real-basic
/
add-comm
real-basic
/
eqint-num
real-basic
/
sub-eq
real-basic
/
add-zero
real-basic
/
bls-01
real-abs
/
lels-02
real-abs
/
lenls
real-basic
/
zero-07
real-basic
/
blst-01