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Theorem ceil-ls-int
⊦ ⌈r⌉ < i ↔ r + 1.r ≤ i.r
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
ceil-ls-negint
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas:
ceil-ls-add-one
,
ceil-ge
,
ceil-is-neg-floor-neg
,
Used spec theorems:
real-basic
/
eqint-add
Used simplifier rules:
int-abs
/
neg-13
int-abs
/
forward-le-05
real-abs
/
le-def
real-abs
/
lels
real-abs
/
forward-lels
real-basic
/
less-add-cancel-l
real-abs
/
lenls
real-basic
/
add-assoc
real-basic
/
add-comm
int-abs
/
neg-15
int-basic2
/
add-a
int-basic2
/
add-c
real-basic
/
ls-num
int-abs
/
sub-ls-01
int-abs
/
lsone
int-abs
/
lels-03
int-abs
/
zero-gels-04
int-abs
/
forward-le-04
int-abs
/
lels
real-abs
/
forward-lsle
int-abs
/
lenls