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Theorems · Theorem · logic and foundations

FirstOrder.Language.Substructure.comap_inf

∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N]
  (S T : L.Substructure N) (f : L.Hom M N),
  FirstOrder.Language.Substructure.comap f (S ⊓ T) =
    FirstOrder.Language.Substructure.comap f S ⊓ FirstOrder.Language.Substructure.comap f T
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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FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Hom · cited by 107Language.HomGaloisConnection.u_inf · cited by 37GaloisConnection.u_infFirstOrder.Language.Substructure.comap · cited by 31Substructure.comapFirstOrder.Language.Substructure.gc_map_comap · cited by 14Substructure.gc_map_comapSubstructure.comap_infCITED BYCITES

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