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Theorem keep-sorted
⊦ zbr.key = zbrar[n0].key ∧ n0 < # zbrar → (sorted(zbrar[n0, zbr], n, m) ↔ sorted(zbrar, n, m))
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: 7
Proof steps: 15
Used lemmas:
sorted-rec
,
sorted-one
,
sorted-base
,
Used spec theorems:
array
/zbranch-array/
Put-other
Used simplifier rules:
nat-basic
/
f
nat-basic
/
succ
array
/zbranch-array/
Size-put
array
/zbranch-array/
cngetput
nat-basic
/
eq-02
nat-basic
/
a
nat-basic
/
c
array
/zbranch-array/
Put-same