Theorems · Theorem · combinatorics
SimpleGraph.IsExtremal.le_iff_eq
∀ {V : Type u_1} [inst : Fintype V] {G : SimpleGraph V} [inst_1 : DecidableRel G.Adj] {p : SimpleGraph V → Prop},
G.IsExtremal p → ∀ {H : SimpleGraph V}, p H → (G ≤ H ↔ G = H)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement and proof · cited by 1,346
- le_of_eqproof · cited by 366
- Finset.eq_of_subset_of_card_leproof · cited by 34
- SimpleGraph.IsExtremalstatement and proof · cited by 9
- SimpleGraph.edgeFinset_injproof · cited by 3
- SimpleGraph.edgeFinset_subset_edgeFinsetproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.not_cliqueFree_of_isTuranMaximalproof · cited by 0