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Theorems · Definition · order theory

PrincipalSeg.orderIsoIio

{α : Type u_1} →
  {β : Type u_2} → [inst : PartialOrder α] → [inst_1 : PartialOrder β] → (f : α <i β) → α ≃o ↑(Set.Iio f.top)

If f : α <i β is a principal segment, this is the induced order isomorphism α ≃o Iio f.top.

Defined in
Mathlib.Order.Interval.Set.InitialSeg
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderPartialOrder

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