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Theorem sorted-shift-one
n ≤ m, m + 1 < n0 ⊦ m + 1 < # A ∧ sorted(A, n, n0) → sorted(A[m + 1, A[m]], n, n0)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
pair-insertion-sort
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 11
Used lemmas:
less-eq-elem
,
sorted
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
f
array
/
Size-put
oelem
/
irreflexivity
array
/
cngetput
nat-basic
/
eq-01
nat
/
fle-01
nat
/
fle
array
/
Put-same
nat-basic
/
eq-02
nat-basic
/
a
nat-basic
/
c
oelem
/
nll
oelem
/
nnn
array
/
Put-other