Excessive space in aligned math before first equals sign

[rbeezer]

Al Maneki, 2023-01-26 email, AATA Chapter 8 review:

Miscellaneous layout issues. See Proof of Lemma 8.27, Braille page 377. Equation for the ijth entry of matrix C: Too many blank spaces before the first “=“ sign, only one space is needed. I think this is the only occurrence in chapter 8.

LaTeX as formed by PreTeXt:

\begin{align*}
c_{ij} & = \sum_{k=1}^n h_{ik} g_{kj}\\
& =  \sum_{k=1}^{n-m} h_{ik} g_{kj} + \sum_{k=n-m+1}^n h_{ik} g_{kj}\\
& = \sum_{k=1}^{n-m} a_{ik} \delta_{kj} + \sum_{k=n-m+1}^n \delta_{i-(m-n),k} a_{kj}\\
& =  a_{ij} + a_{ij}\\
& = 0
\end{align*}

Nemeth from SRE:

⠉⠰⠊⠚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠅⠀⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠼⠂⠣⠝⠻⠓⠰⠊⠅⠐⠛⠰⠅⠚⠐
⠨⠅⠀⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠼⠂⠣⠝⠤⠍⠻⠓⠰⠊⠅⠐⠛⠰⠅⠚⠐⠬⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠝⠤⠍⠬⠂⠣⠝⠻⠓⠰⠊⠅⠐⠛⠰⠅⠚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠨⠅⠀⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠼⠂⠣⠝⠤⠍⠻⠁⠰⠊⠅⠐⠨⠙⠰⠅⠚⠐⠬⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠝⠤⠍⠬⠂⠣⠝⠻⠨⠙⠰⠊⠤⠷⠍⠤⠝⠾⠠⠀⠅⠐⠁⠰⠅⠚⠐
⠨⠅⠀⠁⠰⠊⠚⠐⠬⠁⠰⠊⠚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠨⠅⠀⠼⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀