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Proofgold Proposition
∀ x0 x1 x2 .
equip
(
setsum
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
x2
)
)
(
setsum
(
setprod
2f0db..
x0
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x1
x2
)
)
(
setsum
(
setprod
2f0db..
x1
)
(
setsum
(
setprod
2f0db..
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
2f0db..
x2
)
2f0db..
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
6a551..
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
50a6b..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
50a6b..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setprod
x1
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x1
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
(
setexp
x0
33cc2..
)
x2
)
)
(
setsum
(
setprod
2f0db..
(
setexp
x0
33cc2..
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
50a6b..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setexp
x1
33cc2..
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
)
(
setsum
(
setprod
2f0db..
(
setprod
x0
(
setprod
x1
x2
)
)
)
(
setsum
(
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⟶
False
type
prop
theory
HF
name
-
proof
PUbQq..
Megalodon
-
proofgold address
TMR5r..
creator
3149
PrGxv..
/
c8527..
owner
3178
PrGxv..
/
35436..
term root
2a726..