Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.LHom.onFunction

{L : FirstOrder.Language} → {L' : FirstOrder.Language} → (L →ᴸ L') → ⦃n : ℕ⦄ → L.Functions n → L'.Functions n

The mapping of functions

Defined in
Mathlib.ModelTheory.LanguageMap
Cited by
27 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.LHom.comp · cited by 20LHom.compFirstOrder.Language.LHom.funext · cited by 9LHom.funextFirstOrder.Language.LHom.sumElim · cited by 9LHom.sumElimFirstOrder.Language.LHom.map_onFunction · cited by 5LHom.map_onFunctionFirstOrder.Language.LHom.sumMap · cited by 4LHom.sumMapFirstOrder.Language.Theory.ModelType.defaultExpansion · cited by 3ModelType.defaultExpansionFirstOrder.Language.LHom.realize_onTerm · cited by 3LHom.realize_onTermFirstOrder.Language.LHom.reduct · cited by 3LHom.reductFirstOrder.Language.LHom.defaultExpansion · cited by 2LHom.defaultExpansionFirstOrder.Language.LHom.IsExpansionOn.map_onFunction · cited by 1IsExpansionOn.map_onFunct…FirstOrder.Language.LHom.comp_onTerm · cited by 1LHom.comp_onTermFirstOrder.Language.LHom.id_onTerm · cited by 1LHom.id_onTermFirstOrder.Language.LHom.sumInl_injective · cited by 1LHom.sumInl_injectiveFirstOrder.Language.LHom.Injective.onFunction · cited by 1Injective.onFunctionFirstOrder.Language.LHom.IsExpansionOn.casesOn · cited by 0IsExpansionOn.casesOnFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.LHom · cited by 66Language.LHomLHom.onFunctionCITED BYCITES

Cites3

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

Cited by37

Results whose statement or proof uses this declaration.