Theorems · Theorem · group theory
multiples_eq_zmultiples
∀ {G : Type u_1} [inst : AddGroup G] [Finite G] (x : G), ↑(AddSubmonoid.multiples x) = ↑(AddSubgroup.zmultiples x)- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Finitestatement and proof · cited by 3,029
- AddSubmonoidstatement · cited by 1,178
- AddSubgroup.zmultiplesstatement · cited by 493
- AddSubmonoid.multiplesstatement · cited by 40
- isOfFinAddOrder_of_finiteproof · cited by 10
- IsOfFinAddOrder.multiples_eq_zmultiplesproof · cited by 2
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