Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.funMap_sumInl

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {M : Type w} [inst : L.Structure M]
  [inst_1 : (L.sum L').Structure M] [FirstOrder.Language.LHom.sumInl.IsExpansionOn M] {n : ℕ} {f : L.Functions n}
  {x : Fin n → M}, FirstOrder.Language.Structure.funMap (Sum.inl f) x = FirstOrder.Language.Structure.funMap f x

Defined in

Mathlib.ModelTheory.LanguageMap

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses no axioms

Assumes

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