Theorems · Theorem · order theory
toIocMod_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), toIocMod hp a (a + p) = a + p- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
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
- add_zeroproof · cited by 2,707
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- zero_smulproof · cited by 716
- Archimedeanstatement and proof · cited by 603
- toIocModstatement · cited by 109
- lt_add_of_pos_rightproof · cited by 51
- Set.right_mem_Iocproof · cited by 18
- toIocMod_eq_iffproof · cited by 4
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