Theorems · Definition · logic and foundations
FirstOrder.Language.Relations.boundedFormula
{L : FirstOrder.Language} →
{α : Type u'} → {n l : ℕ} → L.Relations n → (Fin n → L.Term (α ⊕ Fin l)) → L.BoundedFormula α lApplies a relation to terms as a bounded formula.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 207
- FirstOrder.Language.Termstatement and proof · cited by 166
- FirstOrder.Language.Relationsstatement and proof · cited by 147
Cited by13
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Relations.isQFstatement · cited by 5
- FirstOrder.Language.BoundedFormula.realize_relstatement · cited by 3
- FirstOrder.Language.BoundedFormula.IsAtomic.recOnstatement and proof · cited by 3
- FirstOrder.Language.Relations.formulaproof · cited by 3
- FirstOrder.Language.BoundedFormula.IsAtomic.casesOnstatement and proof · cited by 2
- FirstOrder.Language.Relations.isAtomicstatement · cited by 2
- FirstOrder.Language.BoundedFormula.not_all_isAtomicproof · cited by 1
- FirstOrder.Language.BoundedFormula.not_ex_isAtomicproof · cited by 1
- FirstOrder.Language.Relations.boundedFormula₁proof · cited by 1
- FirstOrder.Language.Relations.boundedFormula₂proof · cited by 1
- FirstOrder.Language.LHom.onBoundedFormula.eq_defstatement and proof · cited by 0
- FirstOrder.Language.LHom.comp_onBoundedFormulaproof · cited by 0