Theorems · Theorem · group theory
AddMonoid.exponent_ne_zero_of_finite
∀ {G : Type u} [inst : AddLeftCancelMonoid G] [Finite G], AddMonoid.exponent G ≠ 0- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddLeftCancelMonoidFinite
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.
- Finitestatement and proof · cited by 3,029
- AddMonoid.exponentstatement · cited by 70
- AddLeftCancelMonoidstatement and proof · cited by 37
- AddMonoid.ExponentExists.exponent_ne_zeroproof · cited by 2
- AddMonoid.ExponentExists.of_finiteproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.one_lt_exponentproof · cited by 0