`BookProof.ChapterF6.mgT_apply_le` (k : ℕ) (T : α →₀ ℕ) (s : List α) (y : α) : (mgT k T s) y ≤ T y + s.count y

Proved

BookProof.ChapterF6.mgT_apply_le

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF6.

BookProof.ChapterF6.mgT_apply_le (k : ℕ) (T : α →₀ ℕ) (s : List α) (y : α) : (mgT k T s) y ≤ T y + s.count y

Formalization note: Lean 4 identifier BookProof.ChapterF6.mgT_apply_le.

Preamble

-- Generated from ChapterF6.lean — theorem BookProof.ChapterF6.mgT_apply_le
import Mathlib
import Definitions.Def_ChapterF6
open BookProof.ChapterF6


open scoped BigOperators


variable {α : Type*} [DecidableEq α]

Formal statement

theorem BookProof.ChapterF6.mgT_apply_le (k : ℕ) (T : α →₀ ℕ) (s : List α) (y : α) :
    (mgT k T s) y ≤ T y + s.count y := by sorry

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