InitialSeg.toOrderEmbedding

{α : Type u_1} → {β : Type u_2} → [inst : PartialOrder α] → [inst_1 : PartialOrder β] → (α ≤i β) → α ↪o β

An initial segment embedding between the < relations of two partial orders is an order embedding.

Defined in: Mathlib.Order.InitialSeg
Cited by: 8 results in Mathlib
Foundations: Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PartialOrder PartialOrder

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