[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 size-rmdup-del
⊦ a ∈ x → # (x -l a).distinct = # x.distinct - 1
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
del-rmdup-length-nle
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 18
Used lemmas:
in-del-new
,
del-n
,
in-03
,
del-y
,
del-e
,
Used spec theorems:
list-dup
/
rmdup-y
Used simplifier rules:
list-dup
/
rmdup-e
list-data
/
size-nil
list
/
in-empty
list
/
a
list
/
in-rec
list
/
c
list-data
/
l
list-dup
/
rm-empty
list
/
app-02
list
/
e
nat
/
elim-pred-c
list
/
app
list-dup
/
rm-one
list
/
len-02
nat-basic
/
one-04
nat-basic
/
a
nat-basic
/
c
list-dup
/
rmdup-n
list
/
len-05
nat-basic
/
succ
list-dup
/
rmdup-y
nat-basic
/
eq-01