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Theorem le
⊦ # filter(rmdup(x), y) ≤ # y
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 11
Used lemmas:
filt-n
,
filter-empty-01
,
del1-01
,
filt-y
,
filt-e
,
Used spec theorems:
list-dup
/
rmdup-y
Used simplifier rules:
list-dup
/
rmdup-e
list
/
c
list-dup
/
rmdup-n
nat
/
lels
nat-basic2
/
succ
list
/
len-05
list
/
e-01
list-del
/
l
nat
/
pred-03
nat
/
lels-01
nat-basic1
/
one-01
list-del
/
del1-e
nat
/
ls-01
nat-basic2
/
s
nat
/
le-ls-simp
nat-basic2
/
a
nat-basic2
/
c
list-data
/
size-01
nat
/
lez-01
list
/
in-empty
list-data
/
l
nat-basic1
/
f
list
/
a