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Theorems · Theorem · group theory

Set.singleton_vadd

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {t : Set β} {a : α}, {a} +ᵥ t = a +ᵥ t
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Scalar
Cited by
5 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Assumes
VAdd
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Around this declaration

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

MeasureTheory.Measure.tendsto_addHaar_inter_smul_zero_of_density_zero_aux1 · cited by 1Measure.tendsto_addHaar_i…Absorbent.vadd_absorbs · cited by 1Absorbent.vadd_absorbsBornology.IsVonNBounded.vadd · cited by 1IsVonNBounded.vaddsingleton_add_mem_nhds · cited by 1singleton_add_mem_nhdsisApproximateAddSubgroup_zero · cited by 0isApproximateAddSubgroup_…Set · cited by 53352SetHVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddSet.vaddSet · cited by 403Set.vaddSetSet.vadd · cited by 72Set.vaddSet.image2_singleton_left · cited by 15Set.image2_singleton_leftSet.singleton_vaddCITED BYCITES

Cites6

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Cited by5

Results whose statement or proof uses this declaration.