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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: RealsStruct x0.
Apply Field_of_RealsStruct_4 with x0, λ x1 x2 . ∀ x3 . 4a41c.. (Field_of_RealsStruct x0) x3 0 = x1.
Apply unknownprop_4ab72f93767fc325730724758d3093e7af2a82217c4d5ee8a2692818e418bf07 with Field_of_RealsStruct x0.
Apply Field_of_RealsStruct_is_CRing_with_id with x0.
The subproof is completed by applying H0.