Theorems · Theorem · order theory
toIocDiv_zsmul_sub_toIocMod
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedAddMonoid α] [hα : Archimedean α]
{p : α} (hp : 0 < p) (a b : α), toIocDiv hp a b • p + toIocMod hp a b = b- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- add_commproof · cited by 1,535
- Archimedeanstatement and proof · cited by 603
- toIocModstatement and proof · cited by 109
- toIocDivstatement and proof · cited by 85
- toIocMod_add_toIocDiv_zsmulproof · cited by 5
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