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Theorems · Theorem · logic and foundations

FirstOrder.Language.definableFun_var

∀ {M : Type u_1} (L : FirstOrder.Language) [inst : L.Structure M] {α : Type u_2} (i : α),
  Set.DefinableFun L ∅ fun v => v i

A coordinate projection is a definable function.

Defined in
Mathlib.ModelTheory.Definability
Cited by
1 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

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Set.DefinableFun.proj · cited by 1DefinableFun.projSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureSet.DefinableFun · cited by 15Set.DefinableFunFirstOrder.Language.Term.definableFun_realize · cited by 3Term.definableFun_realizeLanguage.definableFun_varCITED BYCITES

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Cited by1

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