feat(order/filter/bases): define `filter.has_basis` (#1896)
* feat(*): assorted simple lemmas, simplify some proofs
* feat(order/filter/bases): define `filter.has_basis`
* Add `@[nolint]`
* +1 lemma, +1 simplified proof
* Remove whitespaces
Co-Authored-By: sgouezel <sebastien.gouezel@univ-rennes1.fr>
* Ref. note nolint_ge
Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>