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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: RealsStruct x0.
Apply Field_of_RealsStruct_0 with x0, λ x1 x2 . ∀ x3 . x3x1∀ x4 . x4omega4a41c.. (Field_of_RealsStruct x0) x3 x4x1.
Apply unknownprop_b75e15b7618f186de797a9c3b946547093a25c925a7003e20116b4ad0756b295 with Field_of_RealsStruct x0.
Apply Field_of_RealsStruct_is_CRing_with_id with x0.
The subproof is completed by applying H0.