Theorems · Definition · logic and foundations
FirstOrder.Language.constantsOn.structure
{M : Type w} → {α : Type u'} → (α → M) → (FirstOrder.Language.constantsOn α).Structure MGives a constantsOn α structure to a type by assigning each constant a value.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 6 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Language.Structurestatement · cited by 775
- FirstOrder.Language.Functionsproof · cited by 153
- FirstOrder.Language.Relationsproof · cited by 147
- isEmptyElimproof · cited by 59
- FirstOrder.Language.constantsOnstatement and proof · cited by 22
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Formula.realize_equivSentence_symmstatement · cited by 3
- FirstOrder.Language.Theory.ModelsBoundedFormula.realize_formulaproof · cited by 2
- FirstOrder.Language.constantsOnMap_isExpansionOnstatement and proof · cited by 0
- FirstOrder.Language.Formula.exists_realize_equivSentence_iff_realize_exClosurestatement · cited by 0