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Yes, this is by rule E^S in our paper, and indeed there should be no choice here. I am guessing that axioms are very much hard-coded into thinking they need a choice, and so that the implementation just says in this case "Whatever choice you make will work". It is a bit un-necessary, I agree, but I don't think it is an issue.
Analyzing single variable assignment
pymwp/c_files/basics/assign_variable.c
Lines 6 to 8 in 662f1b9
gives the matrix below and choices
[0], [1], [2]
.I don't think the choice applies here? This is by rule E1.
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