Theorems · Theorem · group theory
add_comm_of_exponent_two
∀ {G : Type u} [inst : AddMonoid G] [IsCancelAdd G], AddMonoid.exponent G = 2 → ∀ (a b : G), a + b = b + a- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidIsCancelAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- IsCancelAddstatement and proof · cited by 79
- AddMonoid.exponentstatement and proof · cited by 70
- AddMonoid.addOrder_dvd_exponentproof · cited by 10
- AddCommute.of_addOrderOf_dvd_twoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsAddKleinFour.isAddCommutativeproof · cited by 0
- addCommMonoidOfExponentTwoproof · cited by 0