[Merged by Bors] - chore(*): use ∃ x ∈ s, _ instead of ∃ (x) (_ : x ∈ s), _
#9215
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eric-wieser
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Dec 22, 2023
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∃ x ∈ s, _ instead of ∃ (x) (_ : x ∈ s), _∃ x ∈ s, _ instead of ∃ (x) (_ : x ∈ s), _
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This is a follow-up to #9215. It changes the following theorems and definitions: - `IsOpen.exists_subset_affineIndependent_span_eq_top` - `IsConformalMap` - `SimpleGraph.induce_connected_of_patches` - `Submonoid.exists_list_of_mem_closure` - `AddSubmonoid.exists_list_of_mem_closure` - `AffineSubspace.mem_affineSpan_insert_iff` - `AffineBasis.exists_affine_subbasis` - `exists_affineIndependent` - `LinearMap.mem_submoduleImage` - `Basis.basis_singleton_iff` - `atom_iff_nonzero_span` - `finrank_eq_one_iff'` - `Submodule.basis_of_pid_aux` - `exists_linearIndependent_extension` - `exists_linearIndependent` - `countable_cover_nhdsWithin_of_sigma_compact` - `mem_residual` Also deprecate `ENNReal.exists_ne_top'`.
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Follow-up #9184