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Proofgold Proposition
∀ x0 .
x0
∈
setexp
(
SNoS_
omega
)
omega
⟶
∀ x1 .
x1
∈
setexp
(
SNoS_
omega
)
omega
⟶
(
∀ x2 .
x2
∈
omega
⟶
∀ x3 .
x3
∈
omega
⟶
SNoLt
(
ap
x0
x2
)
(
ap
x1
x3
)
)
⟶
∀ x2 : ο .
(
SNoCutP
(
prim5
omega
(
ap
x0
)
)
(
prim5
omega
(
ap
x1
)
)
⟶
SNo
(
SNoCut
(
prim5
omega
(
ap
x0
)
)
(
prim5
omega
(
ap
x1
)
)
)
⟶
SNoLev
(
SNoCut
(
prim5
omega
(
ap
x0
)
)
(
prim5
omega
(
ap
x1
)
)
)
∈
ordsucc
omega
⟶
SNoCut
(
prim5
omega
(
ap
x0
)
)
(
prim5
omega
(
ap
x1
)
)
∈
SNoS_
(
ordsucc
omega
)
⟶
(
∀ x3 .
x3
∈
omega
⟶
SNoLt
(
ap
x0
x3
)
(
SNoCut
(
prim5
omega
(
ap
x0
)
)
(
prim5
omega
(
ap
x1
)
)
)
)
⟶
(
∀ x3 .
x3
∈
omega
⟶
SNoLt
(
SNoCut
(
prim5
omega
(
ap
x0
)
)
(
prim5
omega
(
ap
x1
)
)
)
(
ap
x1
x3
)
)
⟶
x2
)
⟶
x2
type
prop
theory
HotG
name
SNo_approx_real_lem
proof
PUK9h..
Megalodon
SNo_approx_real_lem
proofgold address
TMbTG..
SNo_approx_real_lem
creator
12306
PrGxv..
/
70662..
owner
12306
PrGxv..
/
70662..
term root
d275e..