Theorems · Definition · logic and foundations
FirstOrder.Language.IsAlgebraic
FirstOrder.Language → Prop
A language is algebraic when it has no relation symbols.
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 2 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
- IsEmptyproof · cited by 759
- FirstOrder.Language.Relationsproof · cited by 147
Cited by10
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LHom.ofIsEmptystatement and proof · cited by 6
- FirstOrder.Language.Embedding.ofInjectivestatement and proof · cited by 4
- FirstOrder.Language.Embedding.ofInjective_toFunstatement and proof · cited by 1
- FirstOrder.Language.LHom.ofIsEmpty_onFunctionstatement and proof · cited by 0
- FirstOrder.Language.LHom.ofIsEmpty_onRelationstatement and proof · cited by 0
- FirstOrder.Language.Embedding.ofInjective.congr_simpstatement and proof · cited by 0
- FirstOrder.Language.HomClass.strongHomClassOfIsAlgebraicstatement and proof · cited by 0
- FirstOrder.Language.LHom.ofIsEmpty.congr_simpstatement and proof · cited by 0
- FirstOrder.Language.Embedding.coeFn_ofInjectivestatement and proof · cited by 0
- FirstOrder.Language.Embedding.ofInjective_toHomstatement and proof · cited by 0