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Proofgold Proof

pf
Claim L0: ∀ x0 . Semigroup x0struct_b x0
Let x0 of type ι be given.
Assume H0: Semigroup 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 . ∀ x3 . x3x1∀ x4 . x4x1∀ x5 . x5x1x2 (x2 x3 x4) x5 = x2 x3 (x2 x4 x5)).
The subproof is completed by applying H1.
Apply unknownprop_5ef6db00f3c15a86c1e221d4a4c3ce606c4d873a1f90dd0b36114bf603c362c9 with Semigroup.
The subproof is completed by applying L0.