By the way, when I was referring to an external tensor index symmetry 
container, I meant something like what I'm doing here for the tensor 
components:

https://github.com/sympy/sympy/pull/2805

This PR solves the issues of associating tensor components data to tensor 
objects. Previously they were injected into the tensor classes, this 
created problems as that info was lost when the tensor was rebuilt through 
.func . Now there is an external dictionary mapping the tensor objects to 
the components data (which are numpy ndarrays). In any case, what about 
this PR? Any further suggestions/issues?

The tensor index symmetry could as well be stored into a global dictionary, 
that's an idea. But in reality, I think the unify/rewriterule would 
seamlessly work even if the tensor index symmetry is still stored inside 
the arg-tree.

Anyway, please review #2805, so that we can finally solve some urgent 
issues about components data of tensors, as well as some bugs previously 
reported on this mailing list.

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