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Theorems · Theorem · group theory

Set.empty_add

∀ {α : Type u_2} [inst : Add α] {s : Set α}, ∅ + s = ∅
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
6 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Assumes
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

compact_open_separated_add_right · cited by 3compact_open_separated_ad…AddSubgroup.not_isComplement_empty_left · cited by 1AddSubgroup.not_isComplem…IsTopologicalAddGroup.exist_add_closure_nhds · cited by 1IsTopologicalAddGroup.exi…IsApproximateAddSubgroup.one_le · cited by 1IsApproximateAddSubgroup.…isApproximateAddSubgroup_zero · cited by 0isApproximateAddSubgroup_…Bornology.isVonNBounded_add · cited by 0Bornology.isVonNBounded_a…Set · cited by 53352SetSet.add · cited by 338Set.addSet.image2_empty_left · cited by 11Set.image2_empty_leftSet.empty_addCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.