Theorems · Theorem · group theory
IsOfFinAddOrder.pi
∀ {ι : Type u_6} {α : ι → Type u_7} [inst : (i : ι) → AddMonoid (α i)] {x : (i : ι) → α i} [Finite ι],
(∀ (i : ι), IsOfFinAddOrder (x i)) → IsOfFinAddOrder x- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Finitestatement and proof · cited by 3,029
- AddMonoidstatement and proof · cited by 2,864
- Finset.mem_univproof · cited by 361
- Fintype.ofFiniteproof · cited by 255
- IsOfFinAddOrderstatement and proof · cited by 105
- addOrderOf_eq_zero_iffproof · cited by 9
- Finset.lcm_eq_zero_iffproof · cited by 2
- Pi.addOrderOfproof · cited by 1
- addOrderOf_ne_zero_iffproof · cited by 1
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