Theorems · Definition · order theory
OrderEmbedding.ofAntisymmetrization
(α : Type u_1) → [inst : Preorder α] → (Antisymmetrization α fun x1 x2 => x1 ≤ x2) ↪o α
ofAntisymmetrization as an order embedding.
- Defined in
- Mathlib.Order.Antisymmetrization
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- OrderEmbeddingstatement · cited by 619
- RelEmbeddingproof · cited by 281
- Antisymmetrizationstatement · cited by 25
- ofAntisymmetrizationproof · cited by 4
- Quotient.outRelEmbeddingproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- OrderEmbedding.ofAntisymmetrization_applystatement and proof · cited by 0