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Theorem subarray-append-shift-left
⊦ n + m = # ar0 + # ar1 ∧ n ≤ # ar0 → subarray(ar0 + ar1, n, m) = subarray(ar0, n, # ar0 - n) + ar1
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: 3
Proof steps: 9
Used lemmas:
append-at
,
append-a
,
append-len
,
Used spec theorems:
array
/
Extension
Used simplifier rules:
nat
/
elim-sub
nat
/
lep
nat-basic
/
eq-01
nat
/
lep-02
nat
/
cancel-01
nat-basic
/
c
nat-basic
/
a
nat-basic
/
l
nat-basic
/
f
array-copy
/
size-subarray
array-copy
/
subarray-at
nat
/
lels
nat
/
ls-le-simp