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Theorem finreach-fin
finout(g) ⊦ ∃ s0. ∀ a. reach(g)(s, n)(a) ↔ a ∈ s0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
finreachle-fin
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 63
Proof steps: 148
Used lemmas:
finset-nextfin
,
reach-def
,
finout-def
,
Used spec theorems:
infgraph-gen
/
pathp-def
list-del
/
get-append-less
list-del
/
get-append-grt
Used simplifier rules:
set-basic
/
size-zero-01
set-basic
/
ne-01
set-union
/
del-size
nat
/
le-def
nat-basic
/
one-01
nat
/
ls-01
nat-basic
/
s-04
nat-basic
/
refl-Nat
nat-basic
/
a
nat-basic
/
c
set-basic
/
In-insert
set-union
/
Delete
list
/
len-02
list-last
/
last-one
list
/
first
list
/
e
stream
/
sel-fin
list-del
/
one-03
nat-inf
/
add-fin
stream
/
size-fin
nat-inf
/
add-ls-cancel-num-03
nat-inf
/
less-fin
nat-basic
/
less-zero
nat-inf
/
add-assoc
nat-inf
/
add-comm
list-last
/
l-06
list
/
a
list
/
app
list
/
c
list-data
/
lf-01
list-data
/
elim-list-c
stream
/
append-assoc
stream
/
append-empty
stream
/
empty
stream
/
append-finfin
list
/
app-02
list
/
c-03
set-basic
/
In-empty
nat-basic
/
succ
nat
/
add-num-01
list
/
len-05
list-last
/
last-elim
list
/
in-rec
list
/
in-17
list
/
in-append
list
/
in-15
list
/
in-14
list
/
Nil
list
/
in-empty
list-data
/
size-nil
nat-basic
/
z-01
nat-basic
/
eq-01
list
/
len
list
/
c-06
stream
/
get-append3-fin
nat-inf
/
ls-natinf-to-nat-1-2
nat-inf
/
num-add
stream
/
size-append
stream
/
get-append2-fin
stream
/
get-cons-succ
nat-inf
/
less-succ-leq
nat-inf
/
add-ls-cancel-num-04
list-del
/
get-last-03
list-del
/
get-last-04
list
/
c-08
nat-inf
/
add-all-zero
nat
/
lels
nat
/
add-num-03
nat-basic
/
f
nat
/
le-add
nat
/
let
nat-basic
/
lf-02
nat
/
lez
nat-basic
/
zero
list-del
/
get-zero
list-del
/
get-append-grt
nat-basic
/
oz
nat
/
succ-01
list-del
/
get-butlast
nat
/
l-num-01
nat-basic
/
ls-02
list-del
/
get-succ
nat
/
elim-pred-c
list-last
/
l-02
list-data
/
l
list-getput
/
get-zero-01
nat-basic
/
nls-fst
list
/
Last
list-last
/
last-01
nat
/
ler
list-del
/
get-last
nat
/
anti
infgraph-gen-basic
/
edge-def
infgraph-gen-basic
/
dom-def
nat
/
lels-03
nat
/
zero
list-del
/
get-append-less