Theorems · Definition · logic and foundations
FirstOrder.Language.Structure.RelMap
{L : FirstOrder.Language} → {M : Type w} → [self : L.Structure M] → {n : ℕ} → L.Relations n → (Fin n → M) → PropInterpretation of the relation symbols
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 68 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Relationsstatement · cited by 147
Cited by105
Results whose statement or proof uses this declaration.
- Equiv.inducedStructureproof · cited by 6
- FirstOrder.Language.BoundedFormula.realize_rel₂statement and proof · cited by 6
- FirstOrder.Language.StrongHomClass.map_relstatement · cited by 5
- FirstOrder.Language.Hom.codRestrictproof · cited by 4
- FirstOrder.Language.BoundedFormula.realize_mapTermRel_idstatement and proof · cited by 4
- FirstOrder.Language.BoundedFormula.realize_restrictFreeVarproof · cited by 4
- FirstOrder.Language.HomClass.map_relstatement · cited by 3
- FirstOrder.Language.simpleGraphOfStructureproof · cited by 3
- FirstOrder.Language.BoundedFormula.realize_relstatement · cited by 3
- FirstOrder.Language.BoundedFormula.realize_relabelproof · cited by 3
- FirstOrder.Language.LHom.map_onRelationstatement · cited by 3
- FirstOrder.Language.LHom.reductproof · cited by 3