nonUniforms — Mathlib

English

For any ε ≤ ε', the inclusion P.sparsePairs G ε ⊆ P.sparsePairs G ε' holds.

Русский

Для любого ε ≤ ε' выполняется включение P.sparsePairs G ε ⊆ P.sparsePairs G ε'.

LaTeX

$$P.sparsePairs G ε ⊆ P.sparsePairs G ε'$$

Lean4

/-- The pairs of parts of a partition `P` which are not `ε`-uniform in a graph `G`. Note that we
dismiss the diagonal. We do not care whether `s` is `ε`-uniform with itself. -/
def nonUniforms (ε : 𝕜) : Finset (Finset α × Finset α) :=
  P.parts.offDiag.filter fun (u, v) ↦ ¬G.IsUniform ε u v

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