[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem sorted-next-1
⊦ partial-sorted(x, 1, n) ∧ ¬ x[n + 1] < x[n] ∧ n % 2 = 1 → partial-sorted(x, 1, 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
/
f
nat-basic
/
l
nat-mult
/
coef-21
nat
/
fle
nat
/
lels
nat-div
/
mod-mult
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic
/
a
nat-basic
/
c
nat
/
anti
nat
/
lels-02
nat-basic
/
between
nat
/
eqle-one
nat-basic
/
lf-01
nat-div
/
two-odd
nat-basic
/
eq-01
nat
/
lep-02
nat-basic
/
s-04
nat-mult
/
two-ls-01
nat-basic
/
ref
oelem
/
nll