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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0quaternion.
Let x1 of type ι be given.
Assume H1: x1quaternion.
Apply OSNo_proj0_2 with x0, x1 leaving 2 subgoals.
Apply quaternion_HSNo with x0.
The subproof is completed by applying H0.
Apply quaternion_HSNo with x1.
The subproof is completed by applying H1.