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Proofgold Proof

pf
Apply CD_mul_F_eq with Sing 3, CSNo, minus_CSNo, conj_CSNo, add_CSNo, mul_CSNo leaving 8 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 CSNo_mul_CSNo.
The subproof is completed by applying minus_CSNo_0.
The subproof is completed by applying add_CSNo_0R.
The subproof is completed by applying mul_CSNo_0L.
The subproof is completed by applying mul_CSNo_0R.