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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.mem_carrier

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {s : L.Substructure M} {x : M}, x ∈ ↑s ↔ x ∈ s
Defined in
Mathlib.ModelTheory.Substructures
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
FirstOrder.Language.Structure
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FirstOrder.Language.Substructure.constants_mem · cited by 1Substructure.constants_memSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Substructure.carrier · cited by 2Substructure.carrierSubstructure.mem_carrierCITED BYCITES

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