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Theorem subarray-append-shift-right
⊦ # ar0 ≤ m ∧ m ≤ # ar0 + # ar1 → subarray(ar0 + ar1, 0, m) = ar0 + subarray(ar1, 0, m - # ar0)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
subarray-append-shift-right-simp-0
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 11
Used lemmas:
append-atp2
,
append-at1
,
append-at
,
append-a
,
append-len
,
Used spec theorems:
array
/
Extension
Used simplifier rules:
nat
/
let
nat
/
lep-02
nat-basic
/
eq-01
nat
/
lels-02
nat-basic
/
ls-02
array-copy
/
subarray-elim
nat-basic
/
l-01
nat
/
fle-01
array-copy
/
size-subarray
nat
/
lels
nat
/
lep
nat-basic
/
a
nat-basic
/
c
nat-basic
/
l
nat-basic
/
f
nat
/
le-ls-simp
array-copy
/
subarray-at
nat-basic
/
add-base
nat
/
elim-sub