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Not quite that simple, Tony. Those are the characters for the subfamily Copromyzinae. Within that family, Copromyza shuld have a single row of post ocular setae (might be, but I cannot say that with certainty) and there should be a apical spur ventrally on the hind tibiae (none of the pictures has the right angle to confirm its presence).
Still, I think you might be right. Based on the dust pattern on the anepisternum (mesopleuron) it should be C. equina.