[Merged by Bors] - feat(set_theory/zfc/basic): more trivial results #18294
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This was referenced Jan 26, 2023
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Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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Thanks! bors merge |
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This PR does multiple very simple things at once. Here's a rundown. - Golf `Set.eq_empty`. - Add `Set.eq_empty_or_nonempty`, `Set.insert_nonempty`, `Set.singleton_nonempty`, `Class.mem_def`, `Class.not_empty_hom`, `Class.univ_hom`, `Class.empty_Cong_to_Class`, `Class.empty_Class_to_Cong`. - Tag `Class.mem_univ` as `simp`. - Move `Set.to_set_sUnion` and `Set.sUnion_empty`, so that the theorems on singleton injectivity aren't interspersed with the union results.
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This PR does multiple very simple things at once. Here's a rundown.
Set.eq_empty.Set.eq_empty_or_nonempty,Set.insert_nonempty,Set.singleton_nonempty,Class.mem_def,Class.not_empty_hom,Class.univ_hom,Class.empty_Cong_to_Class,Class.empty_Class_to_Cong.Class.mem_univassimp.Set.to_set_sUnionandSet.sUnion_empty, so that the theorems on singleton injectivity aren't interspersed with the union results.