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Theorem dups-eqsize-01
# x = # y, ¬ dups(x), ¬ dups(y), ∀ a. a ∈ x → a ∈ y ⊦ ∀ a. a ∈ y → a ∈ x
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
dups-eqsize-02
,
rm-size-in
,
rm-size-in-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
f-01
,
rec
,
Used spec theorems:
list
/
In
Used simplifier rules:
list-data
/
size-01
list-data
/
l
list
/
in-06
list
/
in-rec
list
/
in-01
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01
nat-basic2
/
succ
list
/
len-05
list
/
c
list
/
in-append
list
/
a
list
/
len