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Theorem ceil-triang
⊦ ⌈r1 + r2⌉ ≤ ⌈r1⌉ + ⌈r2⌉
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
ceil-addint
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 9
Used lemmas:
ceil-notls
,
ceil-ls-add-one
,
Used spec theorems:
real-abs
/
forward-lsle
real-abs
/
ple
real-abs
/
sub-def
real-basic
/
eqint-sub
real-basic
/
eqint-add
Used simplifier rules:
real-abs
/
sub-def
real-basic
/
negladd-ls
real-abs
/
lels
real-abs
/
lels-03
real-basic
/
add-assoc
real-basic
/
add-comm
int-abs
/
le-def
real-abs
/
le-def
real-basic
/
ls-num
int-abs
/
sub-ls
int-abs
/
succ-02
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
lenls