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Proofgold Proof

pf
Apply CD_conj_add with Sing 2, SNo, minus_SNo, λ x0 . x0, add_SNo leaving 6 subgoals.
The subproof is completed by applying complex_tag_fresh.
The subproof is completed by applying SNo_minus_SNo.
Let x0 of type ι be given.
Assume H0: SNo x0.
The subproof is completed by applying H0.
The subproof is completed by applying SNo_add_SNo.
The subproof is completed by applying minus_add_SNo_distr.
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNo x1.
Let x2 of type ι → ι → ο be given.
Assume H2: x2 (add_SNo x0 x1) (add_SNo x0 x1).
The subproof is completed by applying H2.
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