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Theorems · Theorem · logic and foundations

FirstOrder.Language.completeTheory.isSatisfiable

∀ (L : FirstOrder.Language) (M : Type w) [inst : L.Structure M] [Nonempty M], (L.completeTheory M).IsSatisfiable
Defined in
Mathlib.ModelTheory.Satisfiability
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureNonempty
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FirstOrder.Language.completeTheory.isMaximal · cited by 2completeTheory.isMaximalFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Theory.IsSatisfiable · cited by 25Theory.IsSatisfiableFirstOrder.Language.completeTheory · cited by 14Language.completeTheoryFirstOrder.Language.Theory.Model.isSatisfiable · cited by 5Model.isSatisfiablecompleteTheory.isSatisfiableCITED BYCITES

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Cited by1

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