Theorems · Theorem · order theory
Set.range_IicExtend
∀ {α : Type u_1} {β : Type u_2} [inst : LinearOrder α] {b : α} (f : ↑(Set.Iic b) → β),
Set.range (Set.IicExtend f) = Set.range f- Defined in
- Mathlib.Order.Interval.Set.ProjIcc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
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Cites11
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.imageproof · cited by 5,609
- Set.rangestatement and proof · cited by 4,705
- Set.Iicstatement and proof · cited by 1,111
- Set.image_univproof · cited by 322
- Set.range_compproof · cited by 223
- Set.projIicproof · cited by 13
- Set.IicExtendstatement · cited by 9
- Set.range_projIicproof · cited by 1
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