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Proofgold Proof

pf
Claim L0: ∀ x0 . IrreflexiveSymmetricReln x0struct_r x0
Let x0 of type ι be given.
Apply H0 with struct_r x0.
Assume H1: struct_r x0.
Assume H2: unpack_r_o x0 (λ x1 . λ x2 : ι → ι → ο . and (∀ x3 . x3x1not (x2 x3 x3)) (∀ x3 . x3x1∀ x4 . x4x1x2 x3 x4x2 x4 x3)).
The subproof is completed by applying H1.
Apply unknownprop_cbfb7b0a858ebd43603219779360cb4b49636cdfaa135c2740cff97583aabee7 with IrreflexiveSymmetricReln.
The subproof is completed by applying L0.