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Theorem copy2append00
⊦ n ≤ # ar0 ∧ n ≤ # ar1 → copy(ar1, 0, ar0, 0, n) = subarray(ar1, 0, n) + subarray(ar0, n, # ar0 - n)
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: 1
Proof steps: 5
Used lemmas:
append-eq-left
,
append-zero-left
,
append-a
,
append-prefix-left
,
copy2append0
,
Used spec theorems:
Used simplifier rules:
nat
/
elim-sub
nat
/
lep
array-copy
/
subarray-zero
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
nat
/
sub-base
nat
/
eq-01
nat-basic
/
eq-02
nat
/
lels-02
nat
/
le-def
nat-basic
/
lf
nat-basic
/
lf-02
nat-basic
/
trans
nat-basic
/
f
nat-basic
/
succ
nat-basic
/
l-02
nat
/
fle
array-copy
/
copy-exact
array-copy
/
subarray-elim
array-copy
/
size-subarray