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Theorem valid-global-sqn-next-max
m < # apebs ⊦ valid-global-sqn(subarray(apebs, 0, m), n) ∧ valid-peb(apebs[m]) ∧ apebs[m] = mkpeb(aehdr, avidhdr(v, m0, m1, m2, m4), buf, m3, false) → valid-global-sqn(subarray(apebs, 0, m + 1), max(n, m1 + 1))
Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by:
Used by units in proved state:
ubi-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 21
Used lemmas:
valid-global-sqn
,
Used spec theorems:
min-max
/
max
bag-max
/
max-rec
Used simplifier rules:
avidheader
/
sel-10
sqns
/
valid-sqns-rec
nat
/
ls-le-simp
sqns
/
valid-sqns-subarray
nat
/
lels-03
nat-basic
/
s-04
valid-peb
/
valid-peb-unique
bag-max
/
bag-add-nonempty
bag-max
/
bag-union-one
nat
/
gr-def
bag-max
/
max-add-smaller
bag-max
/
max-one
oelem
/nat-set/
irreflexivity
avidheader
/
sel-08
avidheader
/
sel-06
apeb
/
sel-05
valid-peb
/
valid-peb0-imp-valid-peb
bag-union
/nat-bag/
union-com
bag-union
/nat-bag/
union-ass
bag-union
/nat-bag/
union-empty
nat
/
fle-01
nat
/
lels
nat-basic
/
c
nat-basic
/
a
nat
/
succ-01
nat-basic
/
ls-02
nat
/
fle
nat-basic
/
f
nat
/
le-ls-simp