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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0real.
Apply unknownprop_d27930c246df8a4f2e7b13a1f726cca678be8cf0fda06d91b4212035bc7e32cc with x0, λ x1 x2 . d634d.. x2 = x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_fb49976af43b10d0ce8aeb3d9ab418005490959b10197c6c1e0102ac4ae81973 with 0, x0 leaving 2 subgoals.
The subproof is completed by applying real_0.
The subproof is completed by applying H0.