Theorems · Definition · logic and foundations
FirstOrder.Language.BoundedFormula.exs
{L : FirstOrder.Language} → {α : Type u'} → {n : ℕ} → L.BoundedFormula α n → L.Formula αPlaces existential quantifiers on all in-scope bound variables of a bounded formula.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.BoundedFormulastatement and proof · cited by 207
- FirstOrder.Language.Formulastatement · cited by 93
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Formula.iExsproof · cited by 8
- FirstOrder.Language.Sentence.cardGeproof · cited by 3
- Set.Definable.image_comp_sumInl_finproof · cited by 2
- FirstOrder.Language.BoundedFormula.realize_exsstatement and proof · cited by 1
- FirstOrder.Language.Sentence.realize_cardGeproof · cited by 0
- FirstOrder.Language.BoundedFormula.exs.eq_defstatement and proof · cited by 0