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Proofgold Proof
pf
Let x0 of type
ι
→
ι
→
ο
be given.
Apply unknownprop_8e364bf141acac18f61b9e8282040b72d6b420e48399109d2ed0181edd60c3f3 with
λ x1 x2 :
(
ι →
ι → ο
)
→ ο
.
x2
x0
⟶
∀ x3 : ο .
(
strictpartialorder_i
x0
⟶
trichotomous_or_i
x0
⟶
x3
)
⟶
x3
.
The subproof is completed by applying andE with
strictpartialorder_i
x0
,
trichotomous_or_i
x0
.
■