Theorems · Theorem · order theory
toIcoMod_zsmul_add
∀ {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 : ℤ), toIcoMod hp a (m • p + b) = toIcoMod hp a b- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- toIcoModstatement and proof · cited by 99
- toIcoMod_add_zsmulproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- toIcoMod_eq_toIcoModproof · cited by 3
- toIcoMod_intCast_mul_addproof · cited by 1
- toIcoMod_nsmul_addproof · cited by 0