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Theorems · Theorem · group theory

IsAddKleinFour.add_self

∀ {G : Type u_1} [inst : AddGroup G] [IsAddKleinFour G] (x : G), x + x = 0
Defined in
Mathlib.GroupTheory.SpecificGroups.KleinFour
Cited by
0 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupIsAddKleinFour
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AddGroup · cited by 4410AddGroupadd_eq_zero_iff_eq_neg · cited by 49add_eq_zero_iff_eq_negIsAddKleinFour · cited by 10IsAddKleinFourIsAddKleinFour.neg_eq_self · cited by 1IsAddKleinFour.neg_eq_selfIsAddKleinFour.add_selfCITED BYCITES

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