Theorems · Theorem · group theory
addOrderOf_addSubmonoid
∀ {G : Type u_1} [inst : AddMonoid G] {H : AddSubmonoid G} (y : ↥H), addOrderOf ↑y = addOrderOf y- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 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.
Cites6
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
- AddSubmonoidstatement and proof · cited by 1,178
- addOrderOfstatement · cited by 208
- Subtype.coe_injectiveproof · cited by 205
- AddSubmonoid.subtypeproof · cited by 28
- addOrderOf_injectiveproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddCommMonoid.primaryComponent.exists_orderOf_eq_prime_nsmulproof · cited by 0