Theorems · Definition · logic and foundations
FirstOrder.Language.Theory
FirstOrder.Language → Type (max u v)
A theory is a set of sentences.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 154 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 11 definitions · 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.
- Setproof · cited by 53,352
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Sentenceproof · cited by 127
Cited by212
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Theory.Modelstatement · cited by 67
- FirstOrder.Language.Theory.ModelTypestatement · cited by 62
- FirstOrder.Language.Theory.ModelType.Carrierstatement and proof · cited by 59
- FirstOrder.Language.Theory.CompleteTypestatement · cited by 35
- FirstOrder.Language.Theory.Iffstatement and proof · cited by 32
- FirstOrder.Language.Theory.ModelsBoundedFormulastatement and proof · cited by 30
- FirstOrder.Language.LHom.onTheorystatement and proof · cited by 27
- FirstOrder.Language.Theory.IsSatisfiablestatement and proof · cited by 25
- FirstOrder.Language.Theory.Impstatement and proof · cited by 16
- FirstOrder.Language.completeTheorystatement · cited by 14
- FirstOrder.Language.Theory.ACFstatement · cited by 11
- FirstOrder.Language.Theory.IsCompletestatement and proof · cited by 11
Showing the 200 most cited of 212.