mathlib
b0c35d12 - chore(order/filter/basic): a few `simp` lemmas (#5685)

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5 years ago
chore(order/filter/basic): a few `simp` lemmas (#5685) ### Changes in `order/filter/basic` * add `filter.inter_mem_sets_iff`; * rename `filter.Inter_mem_sets` to `filter.bInter_mem_sets`, make it an `iff` `[simp]` lemma; * add a version `filter.bInter_finset_mem_sets` with a protected alias `finset.Inter_mem_sets`; * rename `filter.sInter_mem_sets_of_finite` to `filter.sInter_mem_sets`, make it an `iff` `[simp]` lemma; * rename `filter.Inter_mem_sets_of_fintype` to `filter.Inter_mem_sets`, make it an `iff` `[simp]` lemma * add `eventually` versions of the `*Inter_mem_sets` lemmas. ### New `@[mono]` attributes * `set.union_subset_union` and `set.inter_subset_inter` instead of `monotone_union` and `monotone_inter`; `mono*` failed to make a progress with `s ∩ t ⊆ s' ∩ t'` goal. * `set.image2_subset` * `closure_mono`
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