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Theorems · Definition · logic and foundations

FirstOrder.Language.BoundedFormula.liftAt

{L : FirstOrder.Language} → {α : Type u'} → {n : ℕ} → (n' : ℕ) → ℕ → L.BoundedFormula α n → L.BoundedFormula α (n + n')

Raises all of the bound variables of a formula greater than or equal to m by n'.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
14 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound

Around this declaration

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

FirstOrder.Language.BoundedFormula.IsQF.liftAt · cited by 3IsQF.liftAtFirstOrder.Language.BoundedFormula.IsPrenex.liftAt · cited by 2IsPrenex.liftAtFirstOrder.Language.BoundedFormula.realize_liftAt_one · cited by 1BoundedFormula.realize_li…FirstOrder.Language.BoundedFormula.IsAtomic.liftAt · cited by 1IsAtomic.liftAtFirstOrder.Language.BoundedFormula.toPrenexImp.eq_def · cited by 1toPrenexImp.eq_defFirstOrder.Language.BoundedFormula.toPrenexImpRight.eq_def · cited by 1toPrenexImpRight.eq_defFirstOrder.Language.BoundedFormula.realize_all_liftAt_one_self · cited by 1BoundedFormula.realize_al…FirstOrder.Language.BoundedFormula.realize_toPrenexImp · cited by 1BoundedFormula.realize_to…FirstOrder.Language.BoundedFormula.realize_toPrenexImpRight · cited by 1BoundedFormula.realize_to…FirstOrder.Language.BoundedFormula.isPrenex_toPrenexImp · cited by 1BoundedFormula.isPrenex_t…FirstOrder.Language.BoundedFormula.isPrenex_toPrenexImpRight · cited by 1BoundedFormula.isPrenex_t…FirstOrder.Language.BoundedFormula.realize_liftAt · cited by 0BoundedFormula.realize_li…FirstOrder.Language.BoundedFormula.realize_liftAt_one_self · cited by 0BoundedFormula.realize_li…FirstOrder.Language.BoundedFormula.iff_all_liftAt · cited by 0BoundedFormula.iff_all_li…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.BoundedFormula · cited by 207Language.BoundedFormulaFirstOrder.Language.Term · cited by 166Language.TermFirstOrder.Language.BoundedFormula.castLE · cited by 13BoundedFormula.castLEFirstOrder.Language.BoundedFormula.mapTermRel · cited by 10BoundedFormula.mapTermRelFirstOrder.Language.Term.liftAt · cited by 3Term.liftAtBoundedFormula.liftAtCITED BYCITES

Cites6

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Cited by14

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