Theorems · Theorem · order theory
toIocDiv_apply_right
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedAddMonoid α] [hα : Archimedean α]
{p : α} (hp : 0 < p) (a : α), toIocDiv hp a (a + p) = 0- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Iocproof · cited by 971
- sub_zeroproof · cited by 938
- zero_smulproof · cited by 716
- Archimedeanstatement and proof · cited by 603
- toIocDivstatement · cited by 85
- toIocDiv_eq_of_sub_zsmul_mem_Iocproof · cited by 8
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