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Proofgold Term Root Disambiguation
∀ x0 x1 x2 x3 x4 .
SNo
x0
⟶
SNo
x1
⟶
SNo
(
add_SNo
x0
x1
)
⟶
(
∀ x5 .
x5
∈
SNoS_
omega
⟶
(
∀ x6 .
x6
∈
omega
⟶
SNoLt
(
abs_SNo
(
add_SNo
x5
(
minus_SNo
x0
)
)
)
(
eps_
x6
)
)
⟶
x5
=
x0
)
⟶
(
∀ x5 .
x5
∈
omega
⟶
SNo
(
ap
(
lam
omega
(
λ x6 .
add_SNo
(
ap
x2
(
ordsucc
x6
)
)
(
ap
x3
(
ordsucc
x6
)
)
)
)
x5
)
)
⟶
(
∀ x5 .
x5
∈
omega
⟶
SNoLt
(
add_SNo
x0
x1
)
(
add_SNo
(
ap
(
lam
omega
(
λ x6 .
add_SNo
(
ap
x2
(
ordsucc
x6
)
)
(
ap
x3
(
ordsucc
x6
)
)
)
)
x5
)
(
eps_
x5
)
)
)
⟶
SNoLt
x4
x0
⟶
x4
∈
SNoS_
omega
⟶
not
(
∀ x5 : ο .
(
∀ x6 .
and
(
x6
∈
omega
)
(
SNoLe
(
add_SNo
x4
x1
)
(
ap
(
lam
omega
(
λ x7 .
add_SNo
(
ap
x2
(
ordsucc
x7
)
)
(
ap
x3
(
ordsucc
x7
)
)
)
)
x6
)
)
⟶
x5
)
⟶
x5
)
⟶
SNoLt
0
(
add_SNo
x0
(
minus_SNo
x4
)
)
⟶
x4
=
x0
⟶
∀ x5 : ο .
x5
as obj
-
as prop
35556..
Conj_real_add_SNo__18__6
theory
HotG
stx
b740c..
address
TMc3P..
Conj_real_add_SNo__18__6