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Proofgold Proof

pf
Apply unknownprop_2d6cee807feb3fc764c017920c43c43d3b55241cf5add985df7f7b2080dca518 with 8dd2c.., c6963.. leaving 4 subgoals.
The subproof is completed by applying unknownprop_14a4ee8538d143fe8dc45eb2eb967d12f82b99130422357962aa2d0a55ab88f9.
The subproof is completed by applying unknownprop_57b8ec8100fb47d95fd7bcee1eb4fed21bcf07a9bbfc00cf18bdb9c88823060f.
The subproof is completed by applying unknownprop_61bcd948d8df9a37b038fa76c8759a4ad7ce26206212c492a4e81a8500373590.
The subproof is completed by applying unknownprop_50806ffdc0ac1326fa3eaa204e93d8bb855d8dd75aaaac9d3ef17ddfa41493cf.