Theorems · Theorem · order theory
Set.IicExtend_of_mem
∀ {α : Type u_1} {β : Type u_2} [inst : LinearOrder α] {b x : α} (f : ↑(Set.Iic b) → β) (hx : x ∈ Set.Iic b),
Set.IicExtend f x = f ⟨x, hx⟩- Defined in
- Mathlib.Order.Interval.Set.ProjIcc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- LinearOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement and proof · cited by 7,166
- Set.Iicstatement and proof · cited by 1,111
- Set.IicExtendstatement · cited by 9
- Set.projIic_of_memproof · cited by 3
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