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Theorems · Theorem · order theory

Set.vadd_set_sUnion

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] (a : α) (S : Set (Set β)), a +ᵥ ⋃₀ S = ⋃ s ∈ S, a +ᵥ s
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Lattice
Cited by
1 results in Mathlib
Foundations
Depth 62 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.

IsSemilinearSet.vadd · cited by 0IsSemilinearSet.vaddSet · cited by 53352SetSet.iUnion · cited by 2483Set.iUnionHVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddSet.vaddSet · cited by 403Set.vaddSetSet.sUnion · cited by 392Set.sUnionSet.sUnion_eq_biUnion · cited by 51Set.sUnion_eq_biUnionSet.vadd_set_iUnion₂ · cited by 2Set.vadd_set_iUnion₂Set.vadd_set_sUnionCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.