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Theorem mkDecimal-maxScale-le
⊦ maxScale(i) ≤ abs(j) → mkDecimal(i, j) = mkDecimal(i / 10 ^ maxScale(i), abs(j) - maxScale(i))
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: 5
Proof steps: 8
Used lemmas:
scale-base
,
maxScale-zero
,
maxScale-zero-01
,
intvalue-base
,
mkDecimal-maxScale-le-scale
,
mkDecimal-maxScale-le-int
,
Equality
,
Used spec theorems:
Used simplifier rules:
int-abs
/
sub-zero-01
int-abs
/
abssub
int-abs
/
Sub-def
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
sub-eq
int-basic2
/
add-zero
int-abs
/
lels-02
int-abs
/
abs-07