`BookProof.ChapterLittleGroup.mem_littleGroup` {q : K → G} {l₀ : K} {g : G} : g ∈ littleGroup q l₀ ↔ q l₀ * g = g * q l₀
ProvedBookProof.ChapterLittleGroup.mem_littleGrouptheoremstimepiece
Prove the following Lean 4 theorem from ChapterLittleGroup.
BookProof.ChapterLittleGroup.mem_littleGroup {q : K → G} {l₀ : K} {g : G} : g ∈ littleGroup q l₀ ↔ q l₀ * g = g * q l₀
Formalization note: Lean 4 identifier BookProof.ChapterLittleGroup.mem_littleGroup.
Preamble
-- Generated from ChapterLittleGroup.lean — theorem BookProof.ChapterLittleGroup.mem_littleGroup
import Mathlib
import Definitions.Def_ChapterLittleGroup
open BookProof.ChapterLittleGroup
variable {G : Type*} [Group G] {K : Type*}Formal statement
theorem BookProof.ChapterLittleGroup.mem_littleGroup {q : K → G} {l₀ : K} {g : G} :
g ∈ littleGroup q l₀ ↔ q l₀ * g = g * q l₀ := by sorry