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Proofgold Term Root Disambiguation
∀ x0 x1 .
SNo
x0
⟶
SNo
x1
⟶
∀ x2 : ο .
(
∀ x3 x4 .
(
∀ x5 .
x5
∈
x3
⟶
∀ x6 : ο .
(
∀ x7 .
x7
∈
SNoL
x0
⟶
∀ x8 .
x8
∈
SNoL
x1
⟶
x5
=
add_SNo
(
mul_SNo
x7
x1
)
(
add_SNo
(
mul_SNo
x0
x8
)
(
minus_SNo
(
mul_SNo
x7
x8
)
)
)
⟶
x6
)
⟶
(
∀ x7 .
x7
∈
SNoR
x0
⟶
∀ x8 .
x8
∈
SNoR
x1
⟶
x5
=
add_SNo
(
mul_SNo
x7
x1
)
(
add_SNo
(
mul_SNo
x0
x8
)
(
minus_SNo
(
mul_SNo
x7
x8
)
)
)
⟶
x6
)
⟶
x6
)
⟶
(
∀ x5 .
x5
∈
SNoL
x0
⟶
∀ x6 .
x6
∈
SNoL
x1
⟶
add_SNo
(
mul_SNo
x5
x1
)
(
add_SNo
(
mul_SNo
x0
x6
)
(
minus_SNo
(
mul_SNo
x5
x6
)
)
)
∈
x3
)
⟶
(
∀ x5 .
x5
∈
SNoR
x0
⟶
∀ x6 .
x6
∈
SNoR
x1
⟶
add_SNo
(
mul_SNo
x5
x1
)
(
add_SNo
(
mul_SNo
x0
x6
)
(
minus_SNo
(
mul_SNo
x5
x6
)
)
)
∈
x3
)
⟶
(
∀ x5 .
x5
∈
x4
⟶
∀ x6 : ο .
(
∀ x7 .
x7
∈
SNoL
x0
⟶
∀ x8 .
x8
∈
SNoR
x1
⟶
x5
=
add_SNo
(
mul_SNo
x7
x1
)
(
add_SNo
(
mul_SNo
x0
x8
)
(
minus_SNo
(
mul_SNo
x7
x8
)
)
)
⟶
x6
)
⟶
(
∀ x7 .
x7
∈
SNoR
x0
⟶
∀ x8 .
x8
∈
SNoL
x1
⟶
x5
=
add_SNo
(
mul_SNo
x7
x1
)
(
add_SNo
(
mul_SNo
x0
x8
)
(
minus_SNo
(
mul_SNo
x7
x8
)
)
)
⟶
x6
)
⟶
x6
)
⟶
(
∀ x5 .
x5
∈
SNoL
x0
⟶
∀ x6 .
x6
∈
SNoR
x1
⟶
add_SNo
(
mul_SNo
x5
x1
)
(
add_SNo
(
mul_SNo
x0
x6
)
(
minus_SNo
(
mul_SNo
x5
x6
)
)
)
∈
x4
)
⟶
(
∀ x5 .
x5
∈
SNoR
x0
⟶
∀ x6 .
x6
∈
SNoL
x1
⟶
add_SNo
(
mul_SNo
x5
x1
)
(
add_SNo
(
mul_SNo
x0
x6
)
(
minus_SNo
(
mul_SNo
x5
x6
)
)
)
∈
x4
)
⟶
mul_SNo
x0
x1
=
SNoCut
x3
x4
⟶
x2
)
⟶
x2
as obj
-
as prop
d69cc..
mul_SNo_eq_2
theory
HotG
stx
fd8fe..
address
TMLuS..
mul_SNo_eq_2