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Theorems · Theorem · logic and foundations

Cardinal.empty_theory_categorical

∀ (κ : Cardinal.{w}) (T : FirstOrder.Language.empty.Theory), κ.Categorical T
Defined in
Mathlib.ModelTheory.Satisfiability
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
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Cardinal.empty_infinite_Theory_isComplete · cited by 0Cardinal.empty_infinite_T…Cardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkCardinal.lift · cited by 583Cardinal.liftFirstOrder.Language.Theory · cited by 154Language.TheoryFirstOrder.Language.Theory.ModelType · cited by 62Theory.ModelTypeFirstOrder.Language.Theory.ModelType.Carrier · cited by 59ModelType.CarrierFirstOrder.Language.empty · cited by 8Language.emptyCardinal.Categorical · cited by 4Cardinal.CategoricalFirstOrder.Language.empty.nonempty_equiv_iff · cited by 1empty.nonempty_equiv_iffCardinal.empty_theory_categor…CITED BYCITES

Cites9

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Cited by1

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