Theorems · Theorem · combinatorics
SimpleGraph.CliqueFree.cliqueSet
∀ {α : Type u_1} {G : SimpleGraph α} {n : ℕ}, G.CliqueFree n → G.cliqueSet n = ∅Alias of the reverse direction of SimpleGraph.cliqueSet_eq_empty_iff.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Clique
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.CliqueFreestatement · cited by 70
- SimpleGraph.cliqueSetstatement · cited by 18
- SimpleGraph.cliqueSet_eq_empty_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.cliqueSet_botproof · cited by 1