Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.Substructure.noConfusionType

Sort u_1 →
  {L : FirstOrder.Language} →
    {M : Type w} →
      [inst : L.Structure M] →
        L.Substructure M →
          {L' : FirstOrder.Language} → {M' : Type w} → [inst' : L'.Structure M'] → L'.Substructure M' → Sort u_1
Defined in
Mathlib.ModelTheory.Substructures
Cited by
0 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.Substructure.noConfusion · cited by 0Substructure.noConfusionSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.ClosedUnder · cited by 13Language.ClosedUnderFirstOrder.Language.Substructure.casesOn · cited by 0Substructure.casesOnSubstructure.noConfusionTypeCITED BYCITES

Cites7

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.