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Opposite_Group_is_Group

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

opposite-groupsproofwiki

The opposite group (with reversed multiplication) of a group is also a group.

Preamble
import Mathlib.Algebra.Group.Opposite
Formal statement
theorem Opposite_Group_is_Group {G : Type _} [Group G] (a b c : MulOpposite G) : a * b * c = a * (b * c) := by sorry
Source
https://proofwiki.org/wiki/Opposite_Group_is_Group

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