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Theorem square-le-one
⊦ r * r ≤ 1.r ↔ r ≤ 1.r ∧ 0.r ≤ r + 1.r
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: 1
Proof steps: 2
Used lemmas:
mult-com
,
mult-ass
,
ls-same-05
,
square-gr-one
,
abs-ite
,
mult-one
,
square-le
,
Used spec theorems:
Used simplifier rules:
real-abs
/
abs-one
real-abs
/
forward-lels
real-basic
/
bls-01
real-abs
/
lels
real-abs
/
forward-lsle
real-abs
/
forward-lele
real-basic
/
ls
real-basic
/
ls-num
real-basic
/
add-assoc
real-basic
/
add-comm
real-abs
/
negle-13
real-abs
/
le-def
real-abs
/
lenls