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Proofgold Proposition
∀ x0 .
x0
∈
real
⟶
∀ x1 : ο .
(
∀ x2 .
x2
∈
setexp
(
SNoS_
omega
)
omega
⟶
∀ x3 .
x3
∈
setexp
(
SNoS_
omega
)
omega
⟶
(
∀ x4 .
x4
∈
omega
⟶
SNoLt
(
ap
x2
x4
)
x0
)
⟶
(
∀ x4 .
x4
∈
omega
⟶
SNoLt
x0
(
add_SNo
(
ap
x2
x4
)
(
eps_
x4
)
)
)
⟶
(
∀ x4 .
x4
∈
omega
⟶
∀ x5 .
x5
∈
x4
⟶
SNoLt
(
ap
x2
x5
)
(
ap
x2
x4
)
)
⟶
(
∀ x4 .
x4
∈
omega
⟶
SNoLt
(
add_SNo
(
ap
x3
x4
)
(
minus_SNo
(
eps_
x4
)
)
)
x0
)
⟶
(
∀ x4 .
x4
∈
omega
⟶
SNoLt
x0
(
ap
x3
x4
)
)
⟶
(
∀ x4 .
x4
∈
omega
⟶
∀ x5 .
x5
∈
x4
⟶
SNoLt
(
ap
x3
x4
)
(
ap
x3
x5
)
)
⟶
SNoCutP
(
prim5
omega
(
ap
x2
)
)
(
prim5
omega
(
ap
x3
)
)
⟶
x0
=
SNoCut
(
prim5
omega
(
ap
x2
)
)
(
prim5
omega
(
ap
x3
)
)
⟶
x1
)
⟶
x1
type
prop
theory
HotG
name
SNo_approx_real_rep
proof
PUK9h..
Megalodon
SNo_approx_real_rep
proofgold address
TMWxN..
SNo_approx_real_rep
creator
12306
PrGxv..
/
cef4b..
owner
12306
PrGxv..
/
cef4b..
term root
91bef..