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Theorem i2np
0 ≤ i, 0 ≤ j ⊦ i→n(i) * i→n(j) = i→n(i * j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
i2n
,
i2n-mult
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 15
Used lemmas:
add-01
,
rax-04
,
rax
,
sub
,
add
,
Int2nat-pos
,
Used spec theorems:
int-mult
/
succ-lsplit
int-mult
/
dist-lsplit
Used simplifier rules:
int-basic2
/
succ-01
int-abs
/
lels-01
int-abs
/
mone-08
int-abs
/
forward-lsle
int-abs
/
forward-le-02
nat-mult
/
zero
int-mult
/
zero-left
int-basic2
/
add-zero-rev
int-abs
/
numsub
int-abs
/
forward-le-05
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
sub-le-01
int-abs
/
leone
int-abs
/
sub-pred
int-abs
/
elim-sub
int-abs
/
forward-le-01
nat-mult
/
mult-a
nat-mult
/
rsucc-02
int-abs
/
numleledel-01
int-abs
/
numle-02
int-abs
/
mone-06
int-abs
/
numls-02
nat-basic2
/
add-base
nat
/
add-01
int-basic2
/
add-c
int-basic2
/
add-a
int-mult
/
one
int-mult
/
associativity
int-mult
/
commutativity
nat-basic2
/
eq-01
nat-basic2
/
a
nat-basic2
/
c
nat-mult
/
mult-c
int-mult
/
zero-ge-02
int-abs
/
zero-gels-04