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Theorem pot-dist-pos
⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j + j0) = i ^ j * i ^ j0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
add-eq2pot
,
div-twopot
,
exin2pot
,
isSquare-10pot
,
ls-mult-2pot
,
mod-two-ge-01
,
pot-add-min
,
pot-div
,
pot-mod-zero
,
pot-pot-02
,
pot-sub-dist
,
sqrt-10pot
,
Used by units in proved state:
int-gcd
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
Pot-zero
,
Pot-pos
,
Used spec theorems:
Used simplifier rules:
int-abs
/
anti
int-basic2
/
add-zero
int-mult
/
one
int-abs
/
lels
int-abs
/
forward-lels
int-abs
/
forward-lele
int-basic2
/
ls
int-abs
/
lels-04
int-basic1
/
elim-pred
int-abs
/
succ-02
int-basic2
/
add-in
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
succ-01
intnat
/
rax-04
int-basic2
/
add-a
int-basic2
/
add-c
nat-basic2
/
s
intnat
/
labs
int-abs
/
absle
int-basic1
/
irref
nat-basic2
/
a
nat-basic2
/
c