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Theorems · Definition · logic and foundations

Set.DefinableMap

{M : Type u_1} →
  (L : FirstOrder.Language) → [L.Structure M] → {α : Type u_2} → {β : Type u_3} → Set M → ((α → M) → β → M) → Prop

A family of functions is definable when each coordinate is definable.

Defined in
Mathlib.ModelTheory.Definability
Cited by
3 results in Mathlib
Foundations
Depth 24 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set.Definable.preimage_map · cited by 2Definable.preimage_mapSet.DefinableFun.ofPred_eq · cited by 2DefinableFun.ofPred_eqSet.DefinableFun.comp · cited by 0DefinableFun.compSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureSet.DefinableFun · cited by 15Set.DefinableFunSet.DefinableMapCITED BYCITES

Cites4

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Cited by3

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