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Theorem pot-pot-02
⊦ 0 ≤ j ∧ 0 ≤ j0 → i ^ (j * j0) = (i ^ j) ^ j0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
pot-pot-03
,
pot-root-est
,
pot-square-02
,
pot-square-est-div6
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas:
pot-dist-pos
,
Pot-zero
,
Pot-pos
,
Used spec theorems:
int-mult
/
dist-lsplit
Used simplifier rules:
int-abs
/
lels
int-abs
/
anti
int-mult
/
zero-left
int-abs
/
forward-le-05
int-abs
/
sub-pred
int-abs
/
elim-sub
int-abs
/
forward-le-01
int-abs
/
numleledel-01
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
numle-02
int-mult
/
one
int-mult
/
associativity
int-mult
/
commutativity
int-mult
/
zero-ge-02
int-abs
/
zero-gels-04
int-mult
/
neq-not-zero
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