Theorems · Theorem · group theory
Subgroup.orderOf_coe
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G} (a : ↥H), orderOf ↑a = orderOf a- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- orderOfstatement · cited by 324
- Subtype.coe_injectiveproof · cited by 205
- Subgroup.subtypeproof · cited by 185
- orderOf_injectiveproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.orderOf_mkproof · cited by 8
- IsPrimitiveRoot.autToPow_specproof · cited by 5
- NumberField.Units.even_torsionOrderproof · cited by 3
- Equiv.Perm.subgroup_eq_top_of_swap_memproof · cited by 1
- FiniteField.card_cast_subgroup_card_ne_zeroproof · cited by 0