[Merged by Bors] - feat(order/boolean_algebra): Interaction of disjointness and complements #14925
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| theorem subset_compl_comm {s t : set α} : s ⊆ tᶜ ↔ t ⊆ sᶜ := | ||
| forall_congr $ λ a, imp_not_comm | ||
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| -- TODO@Yaël: This duplicates `subset_compl_iff_disjoint_right` |
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I started replacing its uses, but I stumbled upon a bunch of fixable things in the topology library, so I singled them out to #14950.
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…nts (#14925) Prove `disjoint x yᶜ ↔ x ≤ y` and similar, transfer those results to `set`. Lemma renames * `subset_compl_iff_disjoint` → `subset_compl_iff_disjoint_right` * `set.subset_compl_iff_disjoint` → `set.subset_compl_iff_disjoint_right` * `disjoint_iff_le_compl_left` → `le_compl_iff_disjoint_left` * `disjoint_iff_le_compl_right` → `le_compl_iff_disjoint_right`
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…nts (#14925) Prove `disjoint x yᶜ ↔ x ≤ y` and similar, transfer those results to `set`. Lemma renames * `subset_compl_iff_disjoint` → `subset_compl_iff_disjoint_right` * `set.subset_compl_iff_disjoint` → `set.subset_compl_iff_disjoint_right` * `disjoint_iff_le_compl_left` → `le_compl_iff_disjoint_left` * `disjoint_iff_le_compl_right` → `le_compl_iff_disjoint_right`
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…nts (#14925) Prove `disjoint x yᶜ ↔ x ≤ y` and similar, transfer those results to `set`. Lemma renames * `subset_compl_iff_disjoint` → `subset_compl_iff_disjoint_right` * `set.subset_compl_iff_disjoint` → `set.subset_compl_iff_disjoint_right` * `disjoint_iff_le_compl_left` → `le_compl_iff_disjoint_left` * `disjoint_iff_le_compl_right` → `le_compl_iff_disjoint_right`
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…nts (#14925) Prove `disjoint x yᶜ ↔ x ≤ y` and similar, transfer those results to `set`. Lemma renames * `subset_compl_iff_disjoint` → `subset_compl_iff_disjoint_right` * `set.subset_compl_iff_disjoint` → `set.subset_compl_iff_disjoint_right` * `disjoint_iff_le_compl_left` → `le_compl_iff_disjoint_left` * `disjoint_iff_le_compl_right` → `le_compl_iff_disjoint_right`
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Prove
disjoint x yᶜ ↔ x ≤ yand similar, transfer those results toset.Lemma renames
subset_compl_iff_disjoint→subset_compl_iff_disjoint_rightset.subset_compl_iff_disjoint→set.subset_compl_iff_disjoint_rightdisjoint_iff_le_compl_left→le_compl_iff_disjoint_leftdisjoint_iff_le_compl_right→le_compl_iff_disjoint_right