Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.ElementaryEmbedding.elementarilyEquivalent

∀ {L : FirstOrder.Language} {M : Type u_1} {N : Type u_2} [inst : L.Structure M] [inst_1 : L.Structure N]
  (f : L.ElementaryEmbedding M N), L.ElementarilyEquivalent M N
Defined in
Mathlib.ModelTheory.ElementaryMaps
Cited by
2 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
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FirstOrder.Language.exists_elementarilyEquivalent_card_eq · cited by 2Language.exists_elementar…FirstOrder.Language.ElementarySubstructure.elementarilyEquivalent · cited by 0ElementarySubstructure.el…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.ElementaryEmbedding · cited by 33Language.ElementaryEmbedd…FirstOrder.Language.ElementarilyEquivalent · cited by 19Language.ElementarilyEqui…FirstOrder.Language.elementarilyEquivalent_iff · cited by 4Language.elementarilyEqui…FirstOrder.Language.ElementaryEmbedding.map_sentence · cited by 3ElementaryEmbedding.map_s…ElementaryEmbedding.elementar…CITED BYCITES

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Cited by2

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