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Theorem array-split2
⊦ n + m ≤ # ar → (∃ ar0, ar1, 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: 2
Proof steps: 7
Used lemmas:
append-prefix-left
,
append-a
,
subarray-append-consec0
,
Used spec theorems:
Used simplifier rules:
nat
/
elim-sub
array-copy
/
subarray-elim
nat-basic
/
c
nat
/
lels-02
nat
/
lels-03
nat
/
le-def
nat-basic
/
lf-02
nat-basic
/
a
nat-basic
/
lf-01
nat-basic
/
lf
nat-basic
/
f
nat-basic
/
l
nat-basic
/
ref
array-copy
/
size-subarray
nat
/
fle-01
nat-basic
/
ls-02