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Theorem sorted-inc-right
ar[m - 1] ≤ a, m < # ar, m0 = m + 1 ⊦ sorted(ar, n, m) → sorted(ar[m, a], n, m0)
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: 0
Proof steps: 7
Used lemmas:
sorted
,
less-eq-elem
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
succ
nat-basic
/
trans
nat-basic
/
lf
array
/
ngp-07
nat
/
succ-01
array
/
Size-put
nat-basic
/
zero
nat-basic
/
less-1
nat
/
elim-pred-c
nat
/
let
nat-basic
/
l
nat
/
lels
nat-basic
/
s-04
nat-basic
/
oz
nat-basic
/
lf-02
array
/
Put-same
nat
/
ler
nat
/
lels-03
nat
/
fle-01
nat-basic
/
f
array
/
cngetput
nat
/
lels-02
nat-basic
/
c
nat-basic
/
a
nat-basic
/
eq-01