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Theorems · Definition · order theory

OrderEmbedding.infIrredUpperSet

{α : Type u_1} → [inst : PartialOrder α] → α ↪o { s // InfIrred s }

The Birkhoff Embedding of a finite partial order as inf-irreducible elements in its lattice of lower sets.

Defined in
Mathlib.Order.Birkhoff
Cited by
2 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrder

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