Let A be a nonempty alphabet. In a previous question, I asked for the definition of a uniform substitution. Now, my question is this. Is the composition of two substitutions itself a substitution? I have tried hard to prove it, but I failed. Any proof or counterexample would be appreciated.
2026-04-04 00:34:11.1775262851
composition of uniform substitutions
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1
Just refer to my answer to your previous question and just observe that the composition of two monoid morphisms is a monoid morphism.