Theorems · Definition · logic and foundations
FirstOrder.Language.Relations.formula
{L : FirstOrder.Language} → {α : Type u'} → {n : ℕ} → L.Relations n → (Fin n → L.Term α) → L.Formula αApplies a relation to terms as a formula.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Termstatement and proof · cited by 166
- FirstOrder.Language.Relationsstatement and proof · cited by 147
- FirstOrder.Language.Formulastatement · cited by 93
- FirstOrder.Language.Term.relabelproof · cited by 27
- FirstOrder.Language.Relations.boundedFormulaproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Formula.realize_relstatement · cited by 2
- FirstOrder.Language.Relations.formula₁proof · cited by 1
- FirstOrder.Language.Relations.formula₂proof · cited by 1
- FirstOrder.Language.ElementaryEmbedding.map_relproof · cited by 0
- FirstOrder.Language.BoundedFormula.toFormula.eq_defstatement and proof · cited by 0