Theorems · Theorem · combinatorics
SimpleGraph.IsClique.subset
∀ {α : Type u_1} {G : SimpleGraph α} {s t : Set α}, t ⊆ s → G.IsClique s → G.IsClique t- Defined in
- Mathlib.Combinatorics.SimpleGraph.Clique
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.IsCliquestatement · cited by 76
- Set.Pairwise.monoproof · cited by 55
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.CliqueFree.monoproof · cited by 4
- SimpleGraph.Subgraph.IsPerfectMatching.exists_of_isClique_suppproof · cited by 1
- SimpleGraph.IsNClique.erase_of_memproof · cited by 1
- SimpleGraph.CliqueFreeOn.monoproof · cited by 0