Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.Embedding.age_subset_age

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {N : Type w} [inst_1 : L.Structure N]
  (MN : L.Embedding M N), L.age M ⊆ L.age N
Defined in
Mathlib.ModelTheory.Fraisse
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
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FirstOrder.Language.age.hereditary · cited by 2age.hereditaryFirstOrder.Language.Equiv.age_eq_age · cited by 0Equiv.age_eq_ageSet · cited by 53352SetFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Embedding · cited by 128Language.EmbeddingNonempty.map · cited by 101Nonempty.mapCategoryTheory.Bundled · cited by 42CategoryTheory.BundledFirstOrder.Language.Embedding.comp · cited by 38Embedding.compFirstOrder.Language.age · cited by 18Language.ageEmbedding.age_subset_ageCITED BYCITES

Cites8

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Cited by2

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