[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 even-not-ex
⊦ i % 2 ≠ 0 ↔ (∃ i0. i = 2 * i0 + 1)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
even-add
,
even-mult
,
even-or-succ-even
,
Used by units in proved state:
int-square
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas:
nummult-ls
,
div-elim-negpos
,
div-elim-pospos
,
Used spec theorems:
Used simplifier rules:
int-basic1
/
two-ls
int-abs
/
forward-le-05
int-abs
/
forward-le-01
int-mult
/
zero-ge-add
int-basic2
/
add-in
int-abs
/
lels-01
int-abs
/
zero-gels-01
int-mult
/
eq-pos
int-mult
/
succ-rmerge
int-abs
/
sub-eq
int-abs
/
zero-gels-04
int-abs
/
lsone
int-abs
/
sub-ls
int-abs
/
minus-add
int-abs
/
forward-le-04
int-abs
/
forward-le-02
int-basic1
/
minus-one
int-abs
/
numls-02
int-abs
/
neg-13
int-abs
/
abs-08
int-abs
/
lels-02
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
odd-even
int-basic2
/
add-zero
int-abs
/
Sub-def
int-basic2
/
add-a
int-basic2
/
add-c