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Proofgold Term Root Disambiguation
hf term
(object) array( 'type' => 'termroot', 'hfbuiltin' => true, 'trmpres' => '
combinator_equiv
=
λ x1 x2 .
∀ x3 :
ι →
ι → ο
.
per_i
x3
⟶
(
∀ x4 .
combinator
x4
⟶
x3
x4
x4
)
⟶
(
∀ x4 x5 x6 x7 .
combinator
x4
⟶
combinator
x5
⟶
combinator
x6
⟶
combinator
x7
⟶
x3
x4
x6
⟶
x3
x5
x7
⟶
x3
(
Inj1
(
setsum
x4
x5
)
)
(
Inj1
(
setsum
x6
x7
)
)
)
⟶
(
∀ x4 x5 .
x3
(
Inj1
(
setsum
(
Inj1
(
setsum
(
Inj0
0
)
x4
)
)
x5
)
)
x4
)
⟶
(
∀ x4 x5 x6 .
x3
(
Inj1
(
setsum
(
Inj1
(
setsum
(
Inj1
(
setsum
(
Inj0
(
Power
0
)
)
x4
)
)
x5
)
)
x6
)
)
(
Inj1
(
setsum
(
Inj1
(
setsum
x4
x6
)
)
(
Inj1
(
setsum
x5
x6
)
)
)
)
)
⟶
x3
x1
x2
', )
address
TMMXW..
combinator_equiv_def