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Theorem cast-mult-add-h-01
⊦ 0 ≤ j ∧ j0 < 0 ∧ abs(j0) < 2 ^ i ∧ 0 < i → cast(i, j * 2 ^ i + j0) = cast(i, j0)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
cast-mult-add
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas:
cast-add-2pot-h
,
cast-mult-pos
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-04
int-abs
/
sub-le-01
int-abs
/
leone
int-abs
/
lels
int-abs
/
anti
int-abs
/
lels-01
int-basic1
/
ls-01
int-abs
/
lels-03
int-mult
/
Mult-zero
int-basic2
/
add-zero
int-abs
/
zero-gels-01
int-abs
/
forward-le-01
int-abs
/
forward-le-02
int-abs
/
forward-lsle
int-abs
/
forward-le-05
int-abs
/
neg-13
int-abs
/
abs-08
int-mult
/
commutativity
int-mult
/
succ-rmerge
int-abs
/
Sub-def
int-basic2
/
add-a
int-basic2
/
add-c
int-mult
/
associativity
int-basic2
/
add-in