Theorems · Theorem · order theory
OrderEmbedding.supIrredLowerSet_surjective
∀ {α : Type u_1} [inst : PartialOrder α] [Finite α], Function.Surjective ⇑OrderEmbedding.supIrredLowerSet- Defined in
- Mathlib.Order.Birkhoff
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- Finitestatement and proof · cited by 3,029
- OrderEmbeddingstatement · cited by 619
- LowerSetstatement and proof · cited by 230
- LowerSet.Iicproof · cited by 37
- SupIrredstatement · cited by 34
- LowerSet.supIrred_Iicproof · cited by 4
- OrderEmbedding.supIrredLowerSetstatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- OrderIso.supIrredLowerSetproof · cited by 3