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Theorem mkDecimal-maxScale-le-int
⊦ maxScale(i) ≤ abs(j) → mkDecimal(i, j).int = i / 10 ^ maxScale(i)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
mkDecimal-maxScale-le
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 18
Used lemmas:
maxScale-rec
,
maxScale-le-zero
,
maxScale-base
,
maxScale-not-negt
,
intvalue-base
,
maxScale-zero
,
intvalue-zero
,
intvalue-rec
,
Used spec theorems:
int-abs
/
Abs-pos
int-div
/
div-div
int-pot
/
Pot-pos
Used simplifier rules:
int-div
/
div-eq-same-01
intnat
/
labs
int-div
/
abs
int-abs
/
lels
int-div
/
abs-div10-le
int-abs
/
succ-01
int-abs
/
sub-ls
int-abs
/
succ-02
int-abs
/
lels-03
int-abs
/
abs-10
int-pot
/
pot-zero-01
int-basic2
/
pred
int-basic2
/
add-a
int-basic2
/
add-c
int-mult
/
commutativity
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
lels-01