Mathlib Map

Theorems · Theorem · group theory

Set.vadd_subset_iff

∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {s : Set α} {t u : Set β}, s +ᵥ t ⊆ u ↔ ∀ a ∈ s, ∀ b ∈ t, a +ᵥ b ∈ u
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Scalar
Cited by
3 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
VAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsClosed.vadd_left_of_isCompact · cited by 5IsClosed.vadd_left_of_isC…vadd_set_closure_subset · cited by 2vadd_set_closure_subsetIsClosed.vadd_right_of_isCompact · cited by 0IsClosed.vadd_right_of_is…Set · cited by 53352SetHVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddSet.vadd · cited by 72Set.vaddSet.image2_subset_iff · cited by 30Set.image2_subset_iffSet.vadd_subset_iffCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.