Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.setOfPred_realize_onFormula

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {M : Type w} [inst : L.Structure M] {α : Type u'}
  [inst_1 : L'.Structure M] (φ : L →ᴸ L') [φ.IsExpansionOn M] (ψ : L.Formula α),
  Set.ofPred (φ.onFormula ψ).Realize = Set.ofPred ψ.Realize

Defined in

Mathlib.ModelTheory.Semantics

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.StructureFirstOrder.Language.LHom.IsExpansionOn