[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem square-interval-01
r * (r + 1.r) ≤ r0 * (r0 + 1.r) + r2 + r2, r0 * (r0 + 1.r) + r2 + r2 < (r + 1.r) * (r + 1.r + 1.r), r2 ≤ r0, 0.r ≤ r, 0.r ≤ r2 ⊦ r < r0 + 1.r ∧ r0 < r + 1.r
Type: A user defined theorem
Validity: The proof is valid.
Features:
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:
two-def
,
square-interval
,
mult-com
,
mult-ass
,
mult-one
,
distr
,
Used spec theorems:
Used simplifier rules:
real-basic
/
add-comm
real-basic
/
add-assoc
real-basic
/
ls-02
real-basic
/
less-add-cancel-l
real-abs
/
forward-lele
real-abs
/
forward-lels
int-basic2
/
add-c
int-basic2
/
add-a
real-basic
/
eqint-add
real-abs
/
le-def
real-abs
/
lenls
real-abs
/
lels
real-abs
/
lels-03