`BookProof.ChapterA3p.projSym_add_projAnti_two` : projSym 2 + projAnti 2 = 1

Proved

BookProof.ChapterA3p.projSym_add_projAnti_two

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3p.

BookProof.ChapterA3p.projSym_add_projAnti_two : projSym 2 + projAnti 2 = 1

Formalization note: Lean 4 identifier BookProof.ChapterA3p.projSym_add_projAnti_two.

Preamble

-- Generated from ChapterA3p.lean — theorem BookProof.ChapterA3p.projSym_add_projAnti_two
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
import Mathlib
import Definitions.Def_ChapterA3p
import Definitions.Def_ChapterA3l
import Definitions.Def_ChapterA3n
import Definitions.Def_ChapterA3o
open BookProof.ChapterA3l
open BookProof.ChapterA3n
open BookProof.ChapterA3o
open BookProof.ChapterA3p


open Matrix
open scoped BigOperators


open BookProof.ChapterA3 BookProof.ChapterA3j BookProof.ChapterA3n BookProof.ChapterA3o

Formal statement

theorem BookProof.ChapterA3p.projSym_add_projAnti_two :
    projSym 2 + projAnti 2 = 1 := by sorry

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