Definition talk:Commutative Diagram
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Your "explain" comment is no doubt correct in category theory, which I haven't studied. In the less rigorous world of Set Theory, the currently present words are how I have seen it explained, but the more precise wording you suggest encompasses the more intuitive concept of the dotted line. So feel free to reword it appropriately. --prime mover 10:27, 16 August 2012 (UTC)