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We implement three Coq plugins regarding inductive types in MetaCoq. Thefirst plugin is a simple syntax transformation generating alternativeconstructors for inductive types by abstracting over concrete indices in thetypes of the constructors. The second plugin re-implements Coq's$\texttt{Scheme Induction}$ command in MetaCoq, and extends it to nestedinductive types, e.g. types like rose trees which use $\texttt{list}$ in theirdefinition, similar to the Elpi-plugin by Tassi. The third plugin implementsthe $\texttt{Derive Subterm}$ command provided by the Equations package inMetaCoq.

Generating induction principles and subterm relations for inductive types using MetaCoq