Theorems · Theorem · order theory
Set.Icc_diff_Ioo_same
Deprecated since 2026-06-03Use Set.Icc_sdiff_Ioo_same instead.
∀ {α : Type u_1} [inst : PartialOrder α] {a b : α}, a ≤ b → Set.Icc a b \ Set.Ioo a b = {a, b}Alias of Set.Icc_sdiff_Ioo_same.
- Defined in
- Mathlib.Order.Interval.Set.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement · cited by 6,410
- Set.Iccstatement · cited by 1,702
- Set.Ioostatement · cited by 1,214
- Set.Icc_sdiff_Ioo_sameproof · cited by 7
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