Theorems · Theorem · order theory
toIcoMod_add_nsmul
∀ {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) (m : ℕ), toIcoMod hp a (b + m • p) = toIcoMod hp a b- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 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
- Archimedeanstatement and proof · cited by 603
- Nat.cast_smul_eq_nsmulproof · cited by 110
- toIcoModstatement and proof · cited by 99
- toIcoMod.congr_simpproof · cited by 25
- toIcoMod_add_zsmulproof · cited by 6
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