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Proofgold Proof

pf
Claim L0: ∀ x0 . Quasigroup x0struct_b x0
Let x0 of type ι be given.
Assume H0: Quasigroup x0.
Apply H0 with struct_b x0.
Assume H1: struct_b x0.
Assume H2: unpack_b_o x0 (λ x1 . λ x2 : ι → ι → ι . and (∀ x3 . x3x1bij x1 x1 (x2 x3)) (∀ x3 . x3x1bij x1 x1 (λ x4 . x2 x4 x3))).
The subproof is completed by applying H1.
Apply unknownprop_5ef6db00f3c15a86c1e221d4a4c3ce606c4d873a1f90dd0b36114bf603c362c9 with Quasigroup.
The subproof is completed by applying L0.