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Theorems · Theorem · logic and foundations

FirstOrder.Language.StrongHomClass.elementarilyEquivalent

∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {F : Type u_4}
  [inst_2 : EquivLike F M N] [L.StrongHomClass F M N] (g : F), L.ElementarilyEquivalent M N
Defined in
Mathlib.ModelTheory.Semantics
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0 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.StructureEquivLikeFirstOrder.Language.StrongHomClass
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FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureEquivLike · cited by 165EquivLikeFirstOrder.Language.ElementarilyEquivalent · cited by 19Language.ElementarilyEqui…FirstOrder.Language.StrongHomClass · cited by 16Language.StrongHomClassFirstOrder.Language.elementarilyEquivalent_iff · cited by 4Language.elementarilyEqui…FirstOrder.Language.StrongHomClass.realize_sentence · cited by 3StrongHomClass.realize_se…StrongHomClass.elementarilyEq…CITED BYCITES

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