Theorems · Inductive type · logic and foundations
FirstOrder.Language.BoundedFormula
FirstOrder.Language → Type u' → ℕ → Type (max u v u')
BoundedFormula α n is the type of formulas with free variables indexed by α and n in-scope
bound variables indexed by Fin n.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 207 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FirstOrder.Languagestatement · cited by 1,084
Cited by294
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.Realizestatement and proof · cited by 104
- FirstOrder.Language.Formulaproof · cited by 93
- FirstOrder.Language.BoundedFormula.IsQFstatement · cited by 36
- FirstOrder.Language.Theory.Iffstatement and proof · cited by 32
- FirstOrder.Language.Theory.ModelsBoundedFormulastatement and proof · cited by 30
- FirstOrder.Language.BoundedFormula.notstatement and proof · cited by 27
- FirstOrder.Language.BoundedFormula.IsAtomicstatement · cited by 22
- FirstOrder.Language.BoundedFormula.relabelstatement and proof · cited by 17
- FirstOrder.Language.Theory.Impstatement and proof · cited by 16
- FirstOrder.Language.BoundedFormula.exstatement and proof · cited by 14
- FirstOrder.Language.BoundedFormula.liftAtstatement and proof · cited by 14
- FirstOrder.Language.BoundedFormula.IsPrenexstatement · cited by 13
Showing the 200 most cited of 294.