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Theorems · Theorem · group theory

Set.add_nonempty

∀ {α : Type u_2} [inst : Add α] {s t : Set α}, (s + t).Nonempty ↔ s.Nonempty ∧ t.Nonempty
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
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Foundations
Depth 8 from the axioms · uses no axioms
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Set · cited by 53352SetSet.Nonempty · cited by 2627Set.NonemptySet.add · cited by 338Set.addSet.image2_nonempty_iff · cited by 14Set.image2_nonempty_iffSet.add_nonemptyCITED BYCITES

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