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Theorem move-trans
⊦ move(IOAut(start, step, ext))(s, el1, s1) ∧ move(IOAut(start, step, ext))(s1, el2, s2) → move(IOAut(start, step, ext))(s, el1 + el2, s2)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
IOrefine-conds
,
IObackward-INV
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 17
Proof steps: 42
Used lemmas:
finfrag-split
,
fragstar
,
not-finfrag-empty
,
move
,
Used spec theorems:
list-del
/
get-append-less
list-last
/
lapp
list-del
/
first-append-02
Unknown
/
Unknown
stream
/
append-from-le
list-del
/
rest-empty
Used simplifier rules:
IO-Aut-data
/
sel-IOAut-dotext
list
/
a
list
/
len-01
remtau
/
finremtau-append
list-last
/
last-elim
list
/
e
list
/
app-02
list
/
Nil
list-del
/
one-03
list-data
/
l
nat-basic
/
zero
list
/
len-02
nat-basic
/
one-04
nat-basic
/
a
nat-basic
/
c
nat-basic
/
succ
IO-Aut-data
/
sel-IOAut-dotstep
list-data
/
size-nil
nat-basic
/
less-zero
list-getput
/
get-zero-01
list-data
/
elim-add
list
/
c
list-del
/
get-zero
list-last
/
lapp
nat
/
lels
list
/
len-05
list
/
len
nat-basic
/
l-02
list-del
/
get-succ
nat
/
add-num-01
nat
/
lep-02
nat
/
one-01
nat
/
add-num-03
nat-basic
/
f
stream
/
append-from-size
list-del
/
firstN-len
stream
/
to-succ-cons-l-lem
Unknown
/
Unknown
list-del
/
elim-firstn-restn
nat-basic
/
l-01
nat
/
lep
nat-basic
/
lf-02
nat-basic
/
eq-inc-neq
nat-basic
/
one
nat-basic
/
l
nat-basic
/
trans-Nat
nat-basic
/
lf
nat
/
lels-03
nat
/
elim-sub
nat-basic
/
lf-01
nat
/
one-02
nat
/
eqle-one
nat-basic
/
eqs
nat-basic
/
refl-Nat
nat-basic
/
s-04
nat
/
ler
stream
/
single-to-one
nat
/
les