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Proofgold Proposition
∀ x0 .
x0
∈
real
⟶
∀ x1 : ο .
(
SNo
x0
⟶
SNoLev
x0
∈
ordsucc
omega
⟶
x0
∈
SNoS_
(
ordsucc
omega
)
⟶
SNoLt
(
minus_SNo
omega
)
x0
⟶
SNoLt
x0
omega
⟶
(
∀ x2 .
x2
∈
SNoS_
omega
⟶
(
∀ x3 .
x3
∈
omega
⟶
SNoLt
(
abs_SNo
(
add_SNo
x2
(
minus_SNo
x0
)
)
)
(
eps_
x3
)
)
⟶
x2
=
x0
)
⟶
(
∀ x2 .
x2
∈
omega
⟶
∀ x3 : ο .
(
∀ x4 .
and
(
x4
∈
SNoS_
omega
)
(
and
(
SNoLt
x4
x0
)
(
SNoLt
x0
(
add_SNo
x4
(
eps_
x2
)
)
)
)
⟶
x3
)
⟶
x3
)
⟶
x1
)
⟶
x1
type
prop
theory
HotG
name
real_E
proof
PUgvb..
Megalodon
real_E
proofgold address
TMXFk..
real_E
creator
12283
PrGxv..
/
6579d..
owner
12283
PrGxv..
/
6579d..
term root
ac0c5..