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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.comap_iInf

∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {ι : Sort u_3}
  (f : L.Hom M N) (s : ι → L.Substructure N),
  FirstOrder.Language.Substructure.comap f (⨅ i, s i) = ⨅ i, FirstOrder.Language.Substructure.comap f (s i)
Defined in
Mathlib.ModelTheory.Substructures
Cited by
0 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
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iInf · cited by 1690iInfFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Hom · cited by 107Language.HomGaloisConnection.u_iInf · cited by 40GaloisConnection.u_iInfFirstOrder.Language.Substructure.comap · cited by 31Substructure.comapFirstOrder.Language.Substructure.gc_map_comap · cited by 14Substructure.gc_map_comapSubstructure.comap_iInfCITED BYCITES

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