Mathlib Map

Theorems · Inductive type · logic and foundations

FirstOrder.Language.LHom

FirstOrder.Language → FirstOrder.Language → Type (max (max (max u u') v) v')

A language homomorphism maps the symbols of one language to symbols of another.

Defined in
Mathlib.ModelTheory.LanguageMap
Cited by
66 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.lhomWithConstants · cited by 39Language.lhomWithConstantsFirstOrder.Language.LHom.IsExpansionOn · cited by 31LHom.IsExpansionOnFirstOrder.Language.LHom.onFunction · cited by 27LHom.onFunctionFirstOrder.Language.LHom.onRelation · cited by 27LHom.onRelationFirstOrder.Language.LHom.onTheory · cited by 27LHom.onTheoryFirstOrder.Language.LHom.comp · cited by 20LHom.compFirstOrder.Language.LHom.id · cited by 18LHom.idFirstOrder.Language.LEquiv.toLHom · cited by 11LEquiv.toLHomFirstOrder.Language.LHom.onTerm · cited by 11LHom.onTermFirstOrder.Language.LEquiv.invLHom · cited by 10LEquiv.invLHomFirstOrder.Language.LHom.Injective · cited by 9LHom.InjectiveFirstOrder.Language.LHom.funext · cited by 9LHom.funextFirstOrder.Language.LHom.onBoundedFormula · cited by 9LHom.onBoundedFormulaFirstOrder.Language.LHom.sumElim · cited by 9LHom.sumElimFirstOrder.Language.LHom.sumInl · cited by 9LHom.sumInlFirstOrder.Language · cited by 1084FirstOrder.LanguageLanguage.LHomCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by109

Results whose statement or proof uses this declaration.