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Theorems · Theorem · combinatorics

Set.Subsingleton.isCornerFree

∀ {G : Type u_1} [inst : AddCommMonoid G] {A : Set (G × G)}, A.Subsingleton → IsCornerFree A
Defined in
Mathlib.Combinatorics.Additive.Corner.Defs
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext
Assumes
AddCommMonoid
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Around this declaration

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

isCornerFree_empty · cited by 0isCornerFree_emptyisCornerFree_singleton · cited by 0isCornerFree_singletonSet · cited by 53352SetAddCommMonoid · cited by 12281AddCommMonoidSet.Subsingleton · cited by 276Set.SubsingletonIsCorner · cited by 16IsCornerIsCornerFree · cited by 10IsCornerFreeIsCorner.fst_fst_mem · cited by 4IsCorner.fst_fst_memIsCorner.snd_fst_mem · cited by 4IsCorner.snd_fst_memSubsingleton.isCornerFreeCITED BYCITES

Cites7

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.