[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-append-consec
⊦ m0 + n0 + n1 ≤ # ar → subarray(ar, m0, n0) + subarray(ar, n0 + m0, n1) = subarray(ar, m0, n0 + n1)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
subarray-append-consec0
,
subarray-eq-elim
,
Used by units in proved state:
encoding-aligned
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas:
append-at2
,
append-at1
,
append-a
,
append-len
,
Used spec theorems:
array
/
Extension
Used simplifier rules:
nat-basic
/
eq-01
nat-basic
/
l-01
nat
/
fle-01
nat
/
lels
array-copy
/
size-subarray
nat
/
lep
nat-basic
/
a
nat-basic
/
c
nat-basic
/
l
nat-basic
/
f
array-copy
/
subarray-at
nat
/
elim-sub