To Do List ---------- - Add heterogeneous equality back into the kernel. - Finish Sigma-type support. - Build Nat and List theories. - Fix usability issues identified when formalizing optional and sum types. - Add unification hints support in the Lean front-end. - Improve simp tactic interface (more configuration options). - Add ssreflect-like rewrite commands. - Add record-type (as syntax sugar for Sigma-types). - Implement inductive datatypes and recursive function package from first principles. The goal is to use the HOL/Isabelle approach. - Generic Tableaux prover. - [MCSat](http://leodemoura.github.io/files/fmcad2013.pdf) framework. - Independent type checker using a different programming language (e.g., F* or OCaml). - Module for reading [OpenTheory](http://www.gilith.com/research/opentheory/) proofs. - Re-implement apply-tactic.