[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem subarray-elim
⊦ n + m ≤ # ar → (ar1 = subarray(ar, n, m) ↔ (∃ ar0, ar2. ar = ar0 + ar1 + ar2 ∧ # ar0 = n ∧ # ar1 = m))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
subarray-append-elim-left0
,
subarray-elim-right
,
append-len
,
append-prefix-left
,
append-a
,
subarray-append-consec0
,
Used spec theorems:
Used simplifier rules:
nat
/
elim-sub
nat
/
lels-02
nat-basic
/
lf-02
nat-basic
/
lf-01
nat-basic
/
lf
nat-basic
/
f
nat-basic
/
l
array-copy
/
size-subarray
nat
/
fle-01
nat-basic
/
ls-02
nat
/
lep
nat-basic
/
c
nat-basic
/
a
nat-basic
/
ref
nat
/
le-def
nat
/
lep-02
array-copy
/
subarray-elim
nat
/
ler