In principle, we could now un-seal heap_mapsto, saved_prop_own etc., and mark them as "Typeclass Opaque", and ecancel would still work just as fast as it does now.
Thanks to Matthieu for pointing me to this unify feature.

This replaces f_equiv and solve_proper with our own, hopefully better, versions

simplify_equality        => simplify_eq
simplify_equality'       => simplify_eq/=
simplify_map_equality    => simplify_map_eq
simplify_map_equality'   => simplify_map_eq/=
simplify_option_equality => simplify_option_eq
simplify_list_equality   => simplify_list_eq
f_equal'                 => f_equal/=

The /= suffixes (meaning: do simpl) are inspired by ssreflect.

The tactic injection H as H is doing exactly that.

Also, make our redefinition of done more robust under different
orders of Importing modules.

Also do some minor clean up.