Theorems · Theorem · group theory
AddSubgroup.addOrderOf_mk
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} (a : G) (ha : a ∈ H), addOrderOf ⟨a, ha⟩ = addOrderOf a- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 37 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.
Cites4
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
- addOrderOfstatement · cited by 208
- AddSubgroup.addOrderOf_coeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.addOrderOf_dvd_natCardproof · cited by 1