Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.emptyStructure

{M : Type w} → FirstOrder.Language.empty.Structure M

Any type can be made uniquely into a structure over the empty language.

Defined in
Mathlib.ModelTheory.Basic
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.empty.isFraisse_finite · cited by 0empty.isFraisse_finiteFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.Relations · cited by 147Language.RelationsisEmptyElim · cited by 59isEmptyElimFirstOrder.Language.empty · cited by 8Language.emptyLanguage.emptyStructureCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.