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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.mem_top

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] (x : M), x ∈ ⊤
Defined in
Mathlib.ModelTheory.Substructures
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
FirstOrder.Language.Structure
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FirstOrder.Language.Substructure.topEquiv · cited by 4Substructure.topEquivFirstOrder.Language.PartialEquiv.toEmbeddingOfEqTop_apply · cited by 0PartialEquiv.toEmbeddingO…FirstOrder.Language.Embedding.toPartialEquiv_injective · cited by 0Embedding.toPartialEquiv_…Top.top · cited by 9680Top.topFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureSet.mem_univ · cited by 416Set.mem_univFirstOrder.Language.Substructure · cited by 242Language.SubstructureSubstructure.mem_topCITED BYCITES

Cites5

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Cited by3

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