Theorems · Theorem · order theory
toIcoMod_toIcoMod
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedAddMonoid α] [hα : Archimedean α]
{p : α} (hp : 0 < p) (a₁ a₂ b : α), toIcoMod hp a₁ (toIcoMod hp a₂ b) = toIcoMod hp a₁ b- Defined in
- Mathlib.Algebra.Order.ToIntervalMod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 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
- toIcoModstatement · cited by 99
- toIcoDivproof · cited by 84
- self_sub_toIcoModproof · cited by 3
- toIcoMod_eq_toIcoModproof · cited by 3
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