compl_is_regular — Mathlib

English

If δ1 ≤ δ2, then the regularityReduced operator decreases with larger δ: G.regularityReduced P ε δ2 ≤ G.regularityReduced P ε δ1.

Русский

Если δ1 ≤ δ2, то оператор редукции регулярности не возрастает при увеличении δ: G.regularityReduced P ε δ2 ≤ G.regularityReduced P ε δ1.

LaTeX

$$G.regularityReduced P ε δ2 ≤ G.regularityReduced P ε δ1$$

Lean4

theorem compl_is_regular (h : G.IsSRGWith n k ℓ μ) : Gᶜ.IsRegularOfDegree (n - k - 1) :=
  by
  rw [← h.card, Nat.sub_sub, add_comm, ← Nat.sub_sub]
  exact h.regular.compl

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