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Theorems · Theorem · number theory

ThreeAPFree.vadd_set

∀ {α : Type u_2} [inst : AddCommMonoid α] [IsCancelAdd α] {s : Set α} {a : α}, ThreeAPFree s → ThreeAPFree (a +ᵥ s)
Defined in
Mathlib.Combinatorics.Additive.AP.Three.Defs
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext
Assumes
AddCommMonoidIsCancelAdd
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Around this declaration

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

addRothNumber_map_add_left · cited by 3addRothNumber_map_add_leftthreeAPFree_vadd_set · cited by 1threeAPFree_vadd_setSet · cited by 53352SetAddCommMonoid · cited by 12281AddCommMonoidHVAdd.hVAdd · cited by 1820HVAdd.hVAddSet.vaddSet · cited by 403Set.vaddSetIsCancelAdd · cited by 79IsCancelAddadd_right_inj · cited by 71add_right_injadd_add_add_comm · cited by 56add_add_add_commThreeAPFree · cited by 38ThreeAPFreeThreeAPFree.vadd_setCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.