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Theorems · Theorem · logic and foundations

FirstOrder.Language.ElementarySubstructure.isElementary

∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] (S : L.ElementarySubstructure M), (↑S).IsElementary
Defined in
Mathlib.ModelTheory.ElementarySubstructures
Cited by
0 results in Mathlib
Foundations
Depth 24 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.Structure
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FirstOrder.Language.ElementarySubstructure.subtype · cited by 7ElementarySubstructure.su…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.ElementarySubstructure · cited by 18Language.ElementarySubstr…FirstOrder.Language.Substructure.IsElementary · cited by 8Substructure.IsElementaryFirstOrder.Language.ElementarySubstructure.toSubstructure · cited by 3ElementarySubstructure.to…FirstOrder.Language.ElementarySubstructure.isElementary' · cited by 1ElementarySubstructure.is…ElementarySubstructure.isElem…CITED BYCITES

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