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Theorem zero-ge-add-02
⊦ 0.r ≤ r + r0 ∧ 0.r < r2 → 0.r ≤ r * r2 + r0 * r2
Type: A user defined theorem
Validity: The proof is valid.
Features: s,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 9
Used lemmas:
mult-zero
,
zero-ls
,
mult-com
,
mult-ass
,
mult-one
,
distr
,
ls-pos
,
Used spec theorems:
real-abs
/
lels
real-abs
/
antr
Used simplifier rules:
real-abs
/
zero-gels-01
real-abs
/
forward-lsle
real-basic
/
trans
real-abs
/
le-def
real-basic
/
ls-num
real-abs
/
forward-le-05
real-basic
/
add-comm
real-basic
/
add-assoc
real-abs
/
lels
real-abs
/
lels-03
real-basic
/
bls-01
real-abs
/
ler