Theorems · Theorem · group theory
AddSubgroup.exponent_toAddSubmonoid
∀ {G : Type u} [inst : AddGroup G] (H : AddSubgroup G), AddMonoid.exponent ↥H.toAddSubmonoid = AddMonoid.exponent ↥H- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubmonoidstatement · cited by 1,178
- AddSubgroup.toAddSubmonoidstatement · cited by 91
- AddMonoid.exponentstatement · cited by 70
- AddEquiv.addSubgroupCongrproof · cited by 6
- AddMonoid.exponent_eq_of_addEquivproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.nsmul_exponent_eq_zeroproof · cited by 0