mathlib
ea95523d - feat(analysis/normed_space/dual): add lemmas, golf (#11132)

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4 years ago
feat(analysis/normed_space/dual): add lemmas, golf (#11132) * add `polar_univ`, `is_closed_polar`, `polar_gc`, `polar_Union`, `polar_union`, `polar_antitone`, `polar_zero`, `polar_closure`; * extract `polar_ball_subset_closed_ball_div` and `closed_ball_inv_subset_polar_closed_ball` out of the proofs of `polar_closed_ball` and `polar_bounded_of_nhds_zero`; * rename `polar_bounded_of_nhds_zero` to `bounded_polar_of_mem_nhds_zero`, use `metric.bounded`; * use `r⁻¹` instead of `1 / r` in `polar_closed_ball`. This is the simp normal form (though we might want to change this in the future).
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