Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.Hom.comp_id

∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N] (f : L.Hom M N),
  f.comp (FirstOrder.Language.Hom.id L M) = f
Defined in
Mathlib.ModelTheory.Basic
Cited by
0 results in Mathlib
Foundations
Depth 18 from the axioms · uses no axioms
Assumes
FirstOrder.Language.StructureFirstOrder.Language.Structure
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Structure · cited by 775Language.StructureFirstOrder.Language.Hom · cited by 107Language.HomFirstOrder.Language.Hom.comp · cited by 20Hom.compFirstOrder.Language.Hom.id · cited by 10Hom.idHom.comp_idCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.