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Theorem pop-corr
inv(buf), abs(buf, a + x) ⊦ 〈pop#(; buf, b)〉 (inv(buf) ∧ abs(buf, x) ∧ a = b)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 20
Proof steps: 48
Used lemmas:
mod-twice
,
tolist-ext-one
,
tolist-at
,
tolist-size
,
abs
,
Used spec theorems:
list-del
/queue/
extension
intnat
/
i2n-mod
nat-div
/
mod-eq
int-div
/
mod-ls-zero
ring-buffer-inv
/
inv
Used simplifier rules:
int-basic1
/
irref
int-abs
/
zero-gs
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
nat-basic1
/
ls-02
nat-basic1
/
one
int-basic1
/
forward-pos
int-abs
/
lels-01
int-div
/
mod-less-01
int-div
/
mod-les
int-abs
/
lels-02
int-abs
/
forward-lele
int-abs
/
forward-lsle
ring-buffer
/
updsel-16
ring-buffer
/
updsel-11
ring-buffer
/
updsel-12
ring-buffer
/
updsel-03
ring-buffer
/
updsel-04
ring-buffer
/
updsel-07
ring-buffer
/
updsel-08
intnat
/
nat2int
intnat
/
le
intnat
/
abs-02
intnat
/
nat2int-04
nat-basic1
/
ref-1
int-abs
/
forward-lels
int-abs
/
lels
int-abs
/
absle
intnat
/
labs
nat-basic2
/
z
list-del
/queue/
get-zero-01
nat-basic2
/
oz
int-abs
/
numleledel-01
intnat
/
rax-04
nat-basic2
/
succ
nat-basic1
/
trans-1
nat-basic1
/
lf
nat
/
succ-01
intnat
/
le-int-le-nat
intnat
/
num-n2i-ls-07
int-abs
/
numle-02
int-abs
/
zero-gels-04
intnat
/
nat2int-02
list-del
/queue/
get-succ
nat-basic2
/
l
list-data
/queue/
l
nat-basic1
/
f
ring-buffer
/
sel-03
ring-buffer
/
sel-02
ring-buffer
/
sel-04
nat
/
lels
nat
/
ls-le-simp
intnat
/
n2n
intnat
/
inj
ring-buffer
/
sel-01
ring-buffer
/
upd-04
ring-buffer
/
upd-03
ring-buffer
/
elim
intnat
/
add-nonneg-int-to-nat
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
add-in
int-abs
/
elim-sub
nat-basic1
/
zero
intnat
/
num-n2i-ls-02
int-abs
/
forward-le-01
int-abs
/
forward-le-05
ring-buffer
/
updsel-15
list
/queue/
in-17
list
/queue/
in-append
list
/queue/
in-14
nat-basic2
/
c
nat-basic2
/
a
intnat
/
n2i-add
list
/queue/
a
list
/queue/
len-02
list
/queue/
len
list
/queue/
c