Theorems · Definition · logic and foundations
FirstOrder.Language.constantMap
{L : FirstOrder.Language} → {M : Type w} → [L.Structure M] → L.Constants → MInterpretation of a constant symbol
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Structure.funMapproof · cited by 69
- FirstOrder.Language.Constantsstatement and proof · cited by 14
Cited by29
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.realize_constantsstatement · cited by 6
- FirstOrder.Language.HomClass.map_constantsstatement · cited by 4
- FirstOrder.Language.Formula.realize_equivSentence_symm_constatement and proof · cited by 4
- FirstOrder.Language.Term.realize_varsToConstantsstatement and proof · cited by 3
- FirstOrder.Language.model_distinctConstantsTheorystatement and proof · cited by 2
- FirstOrder.Language.ElementaryEmbedding.ofModelsElementaryDiagramproof · cited by 2
- FirstOrder.Language.funMap_eq_coe_constantsstatement · cited by 2
- FirstOrder.Language.Formula.realize_equivSentencestatement and proof · cited by 2
- FirstOrder.Language.Substructure.constants_memstatement · cited by 1
- FirstOrder.Language.presburger.term_realize_eq_add_dotProductproof · cited by 1