Theorems · Theorem · group theory
DihedralGroup.not_commutative
∀ {n : ℕ}, n ≠ 1 → n ≠ 2 → ¬IsMulCommutative (DihedralGroup n)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- ZModproof · cited by 1,024
- zero_subproof · cited by 335
- IsMulCommutativestatement and proof · cited by 95
- one_add_one_eq_twoproof · cited by 65
- DihedralGroupstatement and proof · cited by 41
- neg_eq_iff_add_eq_zeroproof · cited by 16
- ZMod.val_eq_zeroproof · cited by 6
- DihedralGroup.sr_mul_rproof · cited by 1
- ZMod.val_two_eq_two_modproof · cited by 1
- DihedralGroup.sr.injEqproof · cited by 1
- DihedralGroup.r_mul_srproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- DihedralGroup.not_isCyclicproof · cited by 1
- DihedralGroup.commutative_iffproof · cited by 0