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Theorems · Definition · combinatorics

SimpleGraph.nonuniformWitness

{α : Type u_1} →
  {𝕜 : Type u_2} →
    [inst : Field 𝕜] →
      [inst_1 : LinearOrder 𝕜] →
        [IsStrictOrderedRing 𝕜] → (G : SimpleGraph α) → [DecidableRel G.Adj] → 𝕜 → Finset α → Finset α → Finset α

Arbitrary witness of non-uniformity. G.nonuniformWitness ε s t and G.nonuniformWitness ε t s form a pair of subsets witnessing the non-uniformity of (s, t). If (s, t) is uniform, returns s.

Defined in
Mathlib.Combinatorics.SimpleGraph.Regularity.Uniform
Cited by
7 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldLinearOrderIsStrictOrderedRingDecidableRel

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