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Theorems · Theorem · logic and foundations

FirstOrder.Language.Hom.map_le_range

∀ {L : FirstOrder.Language} {M : Type w} {N : Type u_1} [inst : L.Structure M] [inst_1 : L.Structure N] {f : L.Hom M N}
  {p : L.Substructure M}, FirstOrder.Language.Substructure.map f p ≤ f.range
Defined in
Mathlib.ModelTheory.Substructures
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
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FirstOrder.Language.Substructure.CG.of_map_embedding · cited by 1CG.of_map_embeddingFirstOrder.Language.Substructure.FG.of_map_embedding · cited by 1FG.of_map_embeddingDFunLike.coe · cited by 62936DFunLike.coeSetLike.coe · cited by 8199SetLike.coeFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Hom · cited by 107Language.HomSet.image_subset_range · cited by 76Set.image_subset_rangeFirstOrder.Language.Substructure.map · cited by 49Substructure.mapFirstOrder.Language.Hom.range · cited by 30Hom.rangeSetLike.coe_mono · cited by 18SetLike.coe_monoHom.map_le_rangeCITED BYCITES

Cites10

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Cited by2

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