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Theorem subarray-split-at
⊦ n < # ar → ar = subarray(ar, 0, n) + subarray(ar, n, # ar - n)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
subarray-eq-elim
,
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-at2
,
append-at1
,
append-len
,
append-a
,
append-prefix-left
,
Used spec theorems:
array
/
Extension
Used simplifier rules:
array-copy
/
subarray-elim
nat
/
zero-01
nat
/
lels-03
nat-basic
/
lf-01
nat-basic
/
add-base
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