[Merged by Bors] - chore(*): use ∃ x ∈ s, p x instead of ∃ x (_ : x ∈ s), p x
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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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∃ x ∈ s, p x instead of ∃ x (_ : x ∈ s), p x∃ x ∈ s, p x instead of ∃ x (_ : x ∈ s), p x
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This is a follow-up to #9215. It changes the following theorems and definitions:
IsOpen.exists_subset_affineIndependent_span_eq_topIsConformalMapSimpleGraph.induce_connected_of_patchesSubmonoid.exists_list_of_mem_closureAddSubmonoid.exists_list_of_mem_closureAffineSubspace.mem_affineSpan_insert_iffAffineBasis.exists_affine_subbasisexists_affineIndependentLinearMap.mem_submoduleImageBasis.basis_singleton_iffatom_iff_nonzero_spanfinrank_eq_one_iff'Submodule.basis_of_pid_auxexists_linearIndependent_extensionexists_linearIndependentcountable_cover_nhdsWithin_of_sigma_compactmem_residualAlso deprecate
ENNReal.exists_ne_top'.