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Theorem ocs-put-01
⊦ x[m] ≠ a ∧ a ≠ b ∧ m < # x → #oc(a, x[m, b]) = #oc(a, x)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
ocs-sw
,
perm-put-del1
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 16
Used lemmas:
one-01
,
oc-n
,
one
,
ocappend
,
Used spec theorems:
list-del
/
get-rec
Used simplifier rules:
nat
/
lels
nat-basic2
/
s
nat-basic2
/
succ
list
/
len-05
nat-basic2
/
eq
list-del
/
get-zero-01
list
/
c-07
nat
/
elim-pred-c
nat-basic2
/
eq-01
nat-basic2
/
add-base
list
/
e-01
list-del
/
put-zero
list-data
/
l
nat-basic1
/
f
nat
/
succ-01
nat-basic2
/
oz
list
/
a
nat-basic2
/
c
nat-basic2
/
a
list
/
c
list-del
/
put-succ