Theorems · Theorem · combinatorics
Fintype.two_lt_card_iff
∀ {α : Type u_1} [inst : Fintype α], 2 < Fintype.card α ↔ ∃ a b c, a ≠ b ∧ a ≠ c ∧ b ≠ c- Defined in
- Mathlib.Data.Fintype.Card
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Fintype.cardstatement · cited by 1,386
Cited by3
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.one_lt_orderproof · cited by 2
- Matrix.IsHadamard.four_dvd_cardproof · cited by 0
- SimpleGraph.CompleteBipartiteGraph.chromaticNumberproof · cited by 0