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The mirror image of a knot should be a knot not a diagram

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The mirror image of a knot should be a knot not a diagram

This may be pedantic but I think it is good practice when we give definitions to be careful in distinguishing knots (curves or perhaps isotopy classes of
curves) and their diagrams (planar curves or perhaps graphs). So perhaps the definition should be something like:

"The mirror image of a knot $K$ is the knot $K'$ whose diagram is obtained by changing all the crossings in a diagram of $K$."

and then observe that since the Reidemeister moves are preserved under mirror images this notion is well defined.

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