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Theorem mkDecimal-maxScale-nle-scale
⊦ ¬ maxScale(i) ≤ abs(j) → mkDecimal(i, j).scale = 0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
mkDecimal-maxScale-nle
,
Used by units in proved state:
decimal-simple-ops
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas:
maxScale-rec
,
scale-base
,
maxScale-base
,
scale-zero
,
scale-rec
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
absls
int-abs
/
abs-abs
int-abs
/
sub-ls
int-abs
/
succ-02
int-abs
/
lels-01
int-abs
/
lenls
int-basic2
/
add-a
int-basic2
/
add-c
intnat
/
labs
int-div
/
abs
int-abs
/
lels
int-div
/
abs-div10-le