Theorems · Theorem · order theory
Set.Iic_inj
∀ {α : Type u_1} [inst : PartialOrder α] {a b : α}, Set.Iic a = Set.Iic b ↔ a = b- Defined in
- Mathlib.Order.Interval.Set.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- PartialOrder
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Set.Iicstatement · cited by 1,111
- Set.Iic_injectiveproof · cited by 2
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