rewrite_* functions take the rewriting results of the sub-components and
construct the rewriting result for the main component.
For instance, rewrite_app function takes env, ctx, and the value v s.t.
v = (e_0 e_1 ... e_n)
and the rewriting results for e_i's as a vector(buffer)
(e'_0, pf_0 -- proof of e_0 = e'_0)
(e'_1, pf_1 -- proof of e_1 = e'_1)
...
(e'_n, pf_n -- proof of e_n = e'_n).
Then rewrite_app function construct the new v'
v' = (e'_0 e'_1 ... e'_n)
and the proof of v = v' which is constructed with pf_i's.
These functions are used in the component rewriters such as app_RW and
let_type_RW, as well as more complicated rewriters such as depth
rewriter.