Theorems · Theorem · group theory
AddMonoid.exponent_eq_zero_iff
∀ {G : Type u} [inst : AddMonoid G], AddMonoid.exponent G = 0 ↔ ¬AddMonoid.ExponentExists G- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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
- AddMonoid.exponentstatement · cited by 70
- Iff.not_rightproof · cited by 20
- AddMonoid.ExponentExistsstatement · cited by 17
- AddMonoid.exponent_ne_zeroproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_eq_iSup_addOrderOfproof · cited by 2
- AddMonoid.exponent_eq_zero_addOrder_zeroproof · cited by 2
- AddMonoid.exponent_pi_eq_zeroproof · cited by 0
- AddMonoid.exponent_eq_sInfproof · cited by 0
- AddMonoid.exponent_eq_zero_iff_forallproof · cited by 0