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Theorem size-rmdup-del
⊦ a ∈ x → # rmdup(x -l a) = # rmdup(x) - 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: 4
Proof steps: 20
Used lemmas:
in-01
,
in
,
del-n
,
in-03
,
del-y
,
del-e
,
Used spec theorems:
list-dup
/
rmdup-y
Used simplifier rules:
list
/
in-17
list
/
in-append
list
/
app-02-ant
list
/
e
list
/
e-01
list-dup
/
rmdup-e
list-data
/
size-01
list-data
/
l
list-dup
/
rm-empty
list
/
app
list-dup
/
rm-one
nat-basic2
/
one-03
list
/
in-empty
nat
/
elim-pred-c
list
/
len-02
list
/
len
list
/
c
list-dup
/
rmdup-n
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01
list
/
a
list-dup
/
rmdup-y