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Theorems · Theorem · group theory

Set.vadd_set_empty

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {a : α}, a +ᵥ ∅ = ∅
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Scalar
Cited by
5 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
VAdd
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Around this declaration

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

AddAction.IsBlock.of_subset · cited by 1IsBlock.of_subsetAddAction.IsBlock.vadd_eq_vadd_of_subset · cited by 1IsBlock.vadd_eq_vadd_of_s…AddAction.IsBlock.empty · cited by 1IsBlock.emptyAddAction.stabilizer_empty · cited by 0AddAction.stabilizer_emptyAddAction.aestabilizer_empty · cited by 0AddAction.aestabilizer_em…Set · cited by 53352SetHVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddSet.vaddSet · cited by 403Set.vaddSetSet.image_empty · cited by 73Set.image_emptySet.vadd_set_emptyCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.