Theorems · Definition · logic and foundations
FirstOrder.Language.JointEmbedding
{L : FirstOrder.Language} → Set (CategoryTheory.Bundled L.Structure) → PropA class K has the joint embedding property when for every M, N in K, there is another
structure in K into which both M and N embed.
- Defined in
- Mathlib.ModelTheory.Fraisse
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- CategoryTheory.Bundled.αproof · cited by 736
- DirectedOnproof · cited by 271
- FirstOrder.Language.Embeddingproof · cited by 128
- CategoryTheory.Bundledstatement and proof · cited by 42
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.age.jointEmbeddingstatement · cited by 2
- FirstOrder.Language.exists_cg_is_age_ofstatement and proof · cited by 1
- FirstOrder.Language.exists_countable_is_age_of_iffstatement and proof · cited by 0
- FirstOrder.Language.IsFraisse.casesOnstatement and proof · cited by 0
- FirstOrder.Language.IsFraisse.jointEmbeddingstatement · cited by 0
- FirstOrder.Language.IsFraisse.recOnstatement and proof · cited by 0