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Theorem zero-le-01
⊦ r < 0.r → (r * r0 ≤ 0.r ↔ 0.r ≤ r0)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
square-le
,
square-lez-01
,
zero-gr-case
,
zero-le-03
,
zero-le-case
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
zero-gr-01
,
mult-com
,
mult-ass
,
minus-left
,
zero-le
,
Used spec theorems:
Used simplifier rules:
real-abs
/
le-def
real-abs
/
lenls
real-basic
/
neg-02
real-basic
/
double-neg
real-abs
/
negle-13
real-basic
/
add-zero
real-basic
/
add-assoc
real-basic
/
add-comm
real-abs
/
lels-03