Theorems · Theorem · combinatorics

SimpleGraph.FarFromTriangleFree.mono

∀ {α : Type u_1} {𝕜 : Type u_3} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜] {G : SimpleGraph α}
  {ε δ : 𝕜} [inst_3 : Fintype α] [inst_4 : DecidableRel G.Adj],
  G.FarFromTriangleFree ε → δ ≤ ε → G.FarFromTriangleFree δ

Defined in: Mathlib.Combinatorics.SimpleGraph.Triangle.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field LinearOrder IsStrictOrderedRing Fintype DecidableRel

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

LinearOrderstatement and proof · cited by 8,572
Fintypestatement and proof · cited by 7,736
Fieldstatement and proof · cited by 7,404
SimpleGraphstatement and proof · cited by 3,072
IsStrictOrderedRingstatement and proof · cited by 2,490
Fintype.cardproof · cited by 1,386
SimpleGraph.Adjstatement and proof · cited by 1,346
mul_le_mul_of_nonneg_rightproof · cited by 301
Nat.cast_nonneg'proof · cited by 245
SimpleGraph.FarFromTriangleFreestatement and proof · cited by 15
SimpleGraph.DeleteFar.monoproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.