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Theorem lastn-restn-01
n ≤ # x ⊦ lastn(n, x) = restn(# x - n, x)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
elim-lastn-butlastn
,
firstN-lastN
,
firstn-last-eq
,
lastN-all
,
lastN-append
,
lastN-ex
,
lastN-rest
,
lastn-mklist-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
restN-append
,
lastN-rec
,
rest-empty
,
lastN-zero
,
Used spec theorems:
Used simplifier rules:
nat
/
elim-sub
nat-basic2
/
add-base
nat-basic2
/
succ
list
/
Last
list-data
/
size-01
nat-basic2
/
z-01
nat-basic2
/
oz
list-last
/
last-elim
list
/
e-02
nat-basic2
/
eq-01
list
/
len-02
list
/
len
nat
/
lels-01
nat-basic1
/
f
nat-basic1
/
lf-02
nat-basic2
/
l-02
nat-basic2
/
c
nat-basic2
/
a
nat
/
lep
list
/
a
list
/
app-03