`BookProof.ChapterF6.mgSum_add_single` (T : α →₀ ℕ) (x : α) : mgSum (T + Finsupp.single x 1) = mgSum T + 1

Proved

BookProof.ChapterF6.mgSum_add_single

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF6.

BookProof.ChapterF6.mgSum_add_single (T : α →₀ ℕ) (x : α) : mgSum (T + Finsupp.single x 1) = mgSum T + 1

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

Preamble

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


open scoped BigOperators


variable {α : Type*} [DecidableEq α]

Formal statement

theorem BookProof.ChapterF6.mgSum_add_single (T : α →₀ ℕ) (x : α) :
    mgSum (T + Finsupp.single x 1) = mgSum T + 1 := by sorry

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