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Theorems · Theorem · logic and foundations

FirstOrder.Language.Formula.realize_not

∀ {L : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'} {φ : L.Formula α} {v : α → M},
  φ.not.Realize v ↔ ¬φ.Realize v
Defined in
Mathlib.ModelTheory.Semantics
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses Quot.sound
Assumes
FirstOrder.Language.Structure
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Set.Definable.compl · cited by 3Definable.complFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Formula · cited by 93Language.FormulaFirstOrder.Language.Formula.Realize · cited by 81Formula.RealizeFirstOrder.Language.Formula.not · cited by 27Formula.notFormula.realize_notCITED BYCITES

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Cited by1

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