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Theorem valid-sqns-nonempty-extract-max-h
⊦ n ≤ # apebs ∧ valid-sqns(v, m, apebs, n) ≠ ∅ → (∃ n0. n0 < n ∧ valid-peb(v, m, apebs[n0]) ∧ apebs[n0].vidhdr.sqn = valid-sqns(v, m, apebs, n).max)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
valid-sqns-nonempty-extract-max
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 25
Used lemmas:
valid-sqns-rec
,
valid-sqns-base
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
s-04
nat-basic
/
c
nat-basic
/
a
nat
/
succ-01
bag-max
/
bag-add-nonempty
bag-max
/
bag-union-one
apeb
/
elim
nat
/
gr-def
bag-max
/
max-rec-simp
bag-max
/
max-add-one-different
nat-basic
/
ref
nat-basic
/
lf-01
nat-basic
/
ls-02
valid-peb
/
valid-peb-unique
apeb
/
sel-05
bag-union
/nat-bag/
union-com
bag-union
/nat-bag/
union-ass
bag-union
/nat-bag/
union-empty
nat-basic
/
succ
nat-basic
/
trans
nat-basic
/
lf
nat-basic
/
f
nat
/
lels-03