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Theorem uniquelen
∀ a. a ∈ ax ↔ a ∈ ay, unique_al(ax), unique_al(ay) ⊦ # ax = # ay
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: 6
Proof steps: 25
Used lemmas:
app
,
nuni-01
,
nuni
,
ex
,
cons
,
inone
,
inapp
,
empty
,
k-unique-r
,
unique-e
,
Used spec theorems:
Used simplifier rules:
list-data
/assoclista/
l
list-data
/assoclista/
size-01
list-data
/assoclista/
elim-list-c
list
/assoclista/
e-01
pair
/
elim
list
/assoclista/
c
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
eq-01
nat-basic2
/
succ
list
/assoclista/
len-05
list
/assoclista/
len
list
/assoclista/
a