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Theorem floor-triang
⊦ ⌊r1⌋ + ⌊r2⌋ ≤ ⌊r1 + r2⌋
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, ls,
Comment:
Used by:
floor-addint
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 9
Used lemmas:
floor-gr-subone
,
floor-le
,
Used spec theorems:
real-abs
/
forward-lels
real-abs
/
ple
real-basic
/
eqint-add
Used simplifier rules:
int-abs
/
le-def
real-abs
/
le-def
real-basic
/
ls-num
int-abs
/
succ-02
int-abs
/
lels-03
int-basic2
/
add-a
int-basic2
/
add-c