feat(ring_theory/{ideal/basic, adjoin_root): some lemmas from #15000 (#16450)
This PR contains some lemmas that were originally in #15000.
The main result that is proven here is `quotient_equiv_quotient_minpoly_map`, which says that if `α` has minimal polynomial `f` over `R` and `I` is an ideal of `R`, then rings `R[α] / I[α]` and `(R/I)[X] / (f mod I)` are isomorphic as R-algebras.
Co-authored-by: Anne Baanen <vierkantor@vierkantor.com>