Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.reduct
{L : FirstOrder.Language} → {L' : FirstOrder.Language} → (L →ᴸ L') → (M : Type u_1) → [L'.Structure M] → L.Structure MPulls a structure back along a language map.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
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.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Functionsproof · cited by 153
- FirstOrder.Language.Relationsproof · cited by 147
- FirstOrder.Language.Structure.funMapproof · cited by 69
- FirstOrder.Language.Structure.RelMapproof · cited by 68
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.LHom.onFunctionproof · cited by 27
- FirstOrder.Language.LHom.onRelationproof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.exists_elementaryEmbedding_card_eq_of_geproof · cited by 1
- FirstOrder.Language.Theory.ModelType.reduct_strucstatement · cited by 0