Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.Substructure.carrier

{L : FirstOrder.Language} → {M : Type w} → [inst : L.Structure M] → L.Substructure M → Set M

The underlying set of this substructure

Defined in
Mathlib.ModelTheory.Substructures
Cited by
2 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
FirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.Substructure.fun_mem · cited by 5Substructure.fun_memFirstOrder.Language.Substructure.mem_carrier · cited by 1Substructure.mem_carrierSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureSubstructure.carrierCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.