Mathlib Map

Theorems · Definition · logic and foundations

SimpleGraph.structure

{V : Type u} → SimpleGraph V → FirstOrder.Language.graph.Structure V

Any simple graph can be thought of as a structure in the language of graphs.

Defined in
Mathlib.ModelTheory.Graph
Cited by
2 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.structure_simpleGraphOfStructure · cited by 0Language.structure_simple…SimpleGraph.simpleGraphOfStructure · cited by 0SimpleGraph.simpleGraphOf…SimpleGraph · cited by 3072SimpleGraphSimpleGraph.Adj · cited by 1346SimpleGraph.AdjFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.Relations · cited by 147Language.RelationsisEmptyElim · cited by 59isEmptyElimFirstOrder.Language.graph · cited by 4Language.graphSimpleGraph.structureCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.