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Theorems · Theorem · number theory

threeAPFree_singleton

∀ {α : Type u_2} [inst : AddMonoid α] (a : α), ThreeAPFree {a}
Defined in
Mathlib.Combinatorics.Additive.AP.Three.Defs
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
AddMonoid
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Around this declaration

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

threeAPFree_sphere · cited by 1threeAPFree_sphereaddRothNumber_singleton · cited by 0addRothNumber_singletonSet · cited by 53352SetAddMonoid · cited by 2864AddMonoidThreeAPFree · cited by 38ThreeAPFreeSet.subsingleton_singleton · cited by 36Set.subsingleton_singletonSet.Subsingleton.threeAPFree · cited by 1Subsingleton.threeAPFreethreeAPFree_singletonCITED BYCITES

Cites5

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.