This answered question addresses how to properly align/format a proof, allowing one to add text commentary alongside equations without ruining the alignment of the equations; however, it only seems to allow for one point of alignment in the equation and one point of alignment in the text, how can we get a similar result with multiple points of alignment?
eg. points of alignment for equations are indicated by an asterisk (*)
*aaaaaaaaa *= bbbbbbbb
= *ccccccccc *= bbbbbbbb comment or explanatory remark.
= *ddddddddd *= bbbbbbbb second comment or explanatory remark.
Here is a hacked approximation of what I was trying to describe:
Here:
- the column of
\Rightarrow
and=
are right-aligned; - the LHS of the equations are right-aligned;
- the column of
=
are left-aligned; - the RHS of the equations are left-aligned;
- the text is also left-aligned.
Issues that I could not resolve even in this hacked example:
Ideally the the text would be pushed as far to the right as possible and have minimal effect on the horizontal centering of the equations (i.e. w.r.t. the page). It would be especially nice if it were possible to specify the width of the text column in such a way that text exceeding that width would automatically format justified and multi-lined, vertically centered about the corresponding line of math, but I imagine that's a bit of a pipe dream …
The final boxed form would be properly centered w.r.t. to the math above it. I realize it may not be possible to do this easily and so am open to any other means of clearly distinguishing the final form.