Theorems · Theorem · combinatorics
SimpleGraph.IsTuranMaximal.card_parts_le
∀ {V : Type u_1} [inst : Fintype V] {G : SimpleGraph V} [inst_1 : DecidableRel G.Adj] {r : ℕ} (h : G.IsTuranMaximal r)
[inst_2 : DecidableEq V], h.finpartition.parts.card ≤ r- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- SimpleGraphstatement and proof · cited by 3,072
- Finset.cardstatement and proof · cited by 2,327
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Finpartition.partsstatement and proof · cited by 184
- Set.BijOnproof · cited by 168
- SimpleGraph.CliqueFreeproof · cited by 70
- Set.BijOn.injOnproof · cited by 42
- Finpartition.partproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.IsTuranMaximal.card_partsproof · cited by 1