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Proofgold Proof

pf
Apply CD_mul_0L with Sing 3, CSNo, minus_CSNo, conj_CSNo, add_CSNo, mul_CSNo leaving 7 subgoals.
The subproof is completed by applying quaternion_tag_fresh.
The subproof is completed by applying CSNo_0.
The subproof is completed by applying CSNo_conj_CSNo.
The subproof is completed by applying minus_CSNo_0.
Apply add_CSNo_0L with 0.
The subproof is completed by applying CSNo_0.
The subproof is completed by applying mul_CSNo_0L.
The subproof is completed by applying mul_CSNo_0R.