Theorems · Theorem · logic and foundations

FirstOrder.Language.StrongHomClass.toEmbedding_toFun

∀ {L : FirstOrder.Language} {F : Type u_3} {M : Type u_4} {N : Type u_5} [inst : L.Structure M] [inst_1 : L.Structure N]
  [inst_2 : FunLike F M N] [inst_3 : EmbeddingLike F M N] [inst_4 : L.StrongHomClass F M N] (a : F) (a_1 : M),
  (FirstOrder.Language.StrongHomClass.toEmbedding a) a_1 = a a_1

Defined in

Mathlib.ModelTheory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 14 from the axioms · uses Quot.sound

Assumes

FirstOrder.Language.StructureFirstOrder.Language.StructureFunLikeEmbeddingLikeFirstOrder.Language.StrongHomClass