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Theorem sorted-next-0
⊦ partial-sorted(x, 0, n) ∧ ¬ x[n + 1] < x[n] ∧ n % 2 = 0 → partial-sorted(x, 0, n + 2)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
odd-even-sort
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas:
partial-sorted
,
Used spec theorems:
nat
/
anti
Used simplifier rules:
nat-basic
/
s-04
nat
/
l-num-01
nat-basic
/
add-base
nat
/
ler
nat-mult
/
le2-04
nat
/
let
nat-div
/
two-odd
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
a
nat-basic
/
c
nat
/
succ-01
nat
/
lels
nat
/
anti