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Theorem get-rec
⊦ x ≠ [] ∧ n ≠ 0 → x[n] = x.rest[n - 1]
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
at-last
,
get-append-less
,
get-butlast
,
get-firstn
,
get-in
,
get-mklist
,
put-at
,
put-sw-in
,
Used by units in proved state:
olist
,
list-perm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
get-rec-01
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
a
nat-basic2
/
c
nat
/
lels-01
nat-basic1
/
one-01
nat
/
elim-sub