Theorems · Theorem · order theory
toIcoMod_le_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), toIcoMod hp a b ≤ toIocMod hp a b- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- LT.lt.leproof · cited by 2,189
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Archimedeanstatement and proof · cited by 603
- toIocModstatement and proof · cited by 109
- toIcoModstatement · cited by 99
- toIocDivproof · cited by 85
- toIcoDivproof · cited by 84
- WCovBy.leproof · cited by 15
- sub_le_sub_iff_leftproof · cited by 8
- toIocDiv_wcovBy_toIcoDivproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.