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Theorem rm-allsize
∀ a. a ∈ x ↔ a ∈ y ⊦ # rmdup(x) = # rmdup(y)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
list-set
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 21
Proof steps: 39
Used lemmas:
rm-rm-02
,
rm-notin-01
,
rm-in-02
,
rm-size-02
,
rm-size
,
rmdup-n
,
rmdup-y
,
rm-empty
,
rmdup-e
,
Used spec theorems:
list
/
firstoc
list
/
In
Used simplifier rules:
list
/
in-empty
list-data
/
l
list-data
/
size-01
list
/
in-08
nat-basic2
/
succ
list
/
len-05
list
/
in-13
list
/
neq
list
/
c
list
/
in-10
list
/
in-append
list
/
in-rec
list
/
a
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01