Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.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) {v : α → M},
  (φ.onFormula ψ).Realize v ↔ ψ.Realize v

Defined in

Mathlib.ModelTheory.Semantics

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

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