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Theorem rmpos-get
⊦ n + 1 < # x ∧ m < # x → (x -1l m)[n] = (n < m ⊃ x[n];x[n + 1])
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 22
Used lemmas:
delpos-base
,
get-succ
,
get-zero-01
,
get-append-grt
,
delpos-rec
,
get-rec-01
,
Used spec theorems:
Used simplifier rules:
list
/
c-07
nat
/
fle
nat-basic1
/
lf-02
nat
/
elim-pred-c
nat
/
lels-03
nat-basic1
/
trans-1
nat-basic1
/
lf
nat
/
succ-01
list
/
len-02
nat-basic1
/
one-01
nat
/
lels
nat-basic2
/
oz
list-data
/
elim-list-c
list-data
/
l
nat
/
fle-01
nat-basic1
/
f
nat-basic2
/
s
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
l
nat-basic2
/
succ
list
/
len-05
list
/
a
list
/
e-01
list
/
c
nat-basic1
/
ls-02
nat
/
le-ls-simp