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Theorems · Theorem · logic and foundations

FirstOrder.Language.Theory.IsUniversal.insert

∀ {L : FirstOrder.Language} {T : L.Theory} [hT : T.IsUniversal] {φ : L.Sentence},
  FirstOrder.Language.BoundedFormula.IsUniversal φ → (insert φ T).IsUniversal
Defined in
Mathlib.ModelTheory.Complexity
Cited by
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Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
FirstOrder.Language.Theory.IsUniversal
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FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Theory · cited by 154Language.TheoryFirstOrder.Language.Sentence · cited by 127Language.SentenceFirstOrder.Language.BoundedFormula.IsUniversal · cited by 12BoundedFormula.IsUniversalFirstOrder.Language.Theory.IsUniversal · cited by 3Theory.IsUniversalFirstOrder.Language.Theory.IsUniversal.isUniversal_of_mem · cited by 2IsUniversal.isUniversal_o…IsUniversal.insertCITED BYCITES

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