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Proofgold Proof

pf
Apply CD_add_mul_distrR with Sing 3, CSNo, minus_CSNo, conj_CSNo, add_CSNo, mul_CSNo leaving 10 subgoals.
The subproof is completed by applying quaternion_tag_fresh.
The subproof is completed by applying CSNo_minus_CSNo.
The subproof is completed by applying CSNo_conj_CSNo.
The subproof is completed by applying CSNo_add_CSNo.
The subproof is completed by applying CSNo_mul_CSNo.
The subproof is completed by applying minus_add_CSNo.
The subproof is completed by applying add_CSNo_assoc.
The subproof is completed by applying add_CSNo_com.
The subproof is completed by applying mul_CSNo_distrL.
The subproof is completed by applying mul_CSNo_distrR.