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Theorems · Definition · logic and foundations

FirstOrder.Language.Formula.relabel

{L : FirstOrder.Language} → {α : Type u'} → {β : Type v'} → (α → β) → L.Formula α → L.Formula β

Relabels a formula's variables along a particular function.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
7 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Quot.sound
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Set.Definable.preimage_comp · cited by 6Definable.preimage_compFirstOrder.genericPolyMapSurjOnOfInjOn · cited by 4FirstOrder.genericPolyMap…FirstOrder.Language.Formula.exClosure · cited by 4Formula.exClosureFirstOrder.Language.Formula.iExsUnique · cited by 2Formula.iExsUniqueFirstOrder.Language.ElementaryEmbedding.map_boundedFormula · cited by 2ElementaryEmbedding.map_b…FirstOrder.Language.Formula.realize_iExsUnique · cited by 1Formula.realize_iExsUniqueFirstOrder.Language.ElementarySubstructure.meetsDefinable · cited by 0ElementarySubstructure.me…Set.TermDefinable₁.definable₂_graph · cited by 0TermDefinable₁.definable₂…FirstOrder.Language.MeetsDefinable.isElementary_closure · cited by 0MeetsDefinable.isElementa…FirstOrder.Language.Formula.realize_relabel · cited by 0Formula.realize_relabelFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Formula · cited by 93Language.FormulaFirstOrder.Language.BoundedFormula.relabel · cited by 17BoundedFormula.relabelFormula.relabelCITED BYCITES

Cites3

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Cited by10

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