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Theorems · Theorem · logic and foundations

FirstOrder.Language.Structure.FG.map_of_surjective

∀ {L : FirstOrder.Language} {M : Type u_1} [inst : L.Structure M] {N : Type u_2} [inst_1 : L.Structure N],
  FirstOrder.Language.Structure.FG L M →
    ∀ (f : L.Hom M N), Function.Surjective ⇑f → FirstOrder.Language.Structure.FG L N
Defined in
Mathlib.ModelTheory.FinitelyGenerated
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
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FirstOrder.Language.Equiv.fg_iff · cited by 3Equiv.fg_iffDFunLike.coe · cited by 62936DFunLike.coeFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Substructure · cited by 242Language.SubstructureFirstOrder.Language.Hom · cited by 107Language.HomFirstOrder.Language.Substructure.FG · cited by 34Substructure.FGFirstOrder.Language.Structure.FG · cited by 27Structure.FGFirstOrder.Language.Structure.FG.range · cited by 7FG.rangeFirstOrder.Language.Structure.fg_def · cited by 6Structure.fg_defFirstOrder.Language.Hom.range_eq_top · cited by 2Hom.range_eq_topFG.map_of_surjectiveCITED BYCITES

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