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Theorem mkDecimal-enlarge
⊦ 0 ≤ j0 → mkDecimal(i, j) = mkDecimal(i * 10 ^ j0, abs(j) + j0)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
decimal-complex-ops
,
decimal-simple-ops
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 13
Used lemmas:
mkDecimal-rec
,
mkDecimal-scale-not-neg
,
Used spec theorems:
int-pot
/
Pot-pos
int-basic2
/
not-zero-pos
int-abs
/
Abs-pos
Used simplifier rules:
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
sub-pred
int-abs
/
abs-06
int-mult
/
one
int-div
/
div-mult-num
int-div
/
mod-zero-num
int-abs
/
sub-le-01
int-abs
/
leone
int-abs
/
lels
int-abs
/
anti
int-mult
/
Mult-zero
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-zero
int-abs
/
abs-01
int-abs
/
abs-07
intnat
/
abs-pred
int-abs
/
sub-add-01
int-abs
/
abs-08
int-abs
/
subsub
int-abs
/
forward-lsle
int-abs
/
forward-le-02
int-basic2
/
ls
int-abs
/
absls
int-basic2
/
add-a
int-basic2
/
add-c