Theorems · Inductive type · logic and foundations
FirstOrder.Language.HomClass
(L : outParam FirstOrder.Language) →
(F : Type u_3) →
(M : outParam (Type u_4)) → (N : outParam (Type u_5)) → [FunLike F M N] → [L.Structure M] → [L.Structure N] → PropHomClass L F M N states that F is a type of L-homomorphisms. You should extend this
typeclass when you extend FirstOrder.Language.Hom.
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
- FirstOrder.Languagestatement · cited by 1,084
- FirstOrder.Language.Structurestatement · cited by 775
Cited by13
Results whose statement or proof uses this declaration.
- FirstOrder.Language.HomClass.map_funstatement and proof · cited by 6
- FirstOrder.Language.HomClass.realize_termstatement and proof · cited by 5
- FirstOrder.Language.HomClass.map_constantsstatement and proof · cited by 4
- FirstOrder.Language.HomClass.map_relstatement and proof · cited by 3
- FirstOrder.Language.HomClass.monotonestatement and proof · cited by 1
- FirstOrder.Language.HomClass.strictMonostatement and proof · cited by 1
- FirstOrder.Language.HomClass.toHomstatement and proof · cited by 1
- FirstOrder.Language.BoundedFormula.IsAtomic.realize_comp_of_injectivestatement and proof · cited by 1
- FirstOrder.Language.HomClass.recOnstatement and proof · cited by 0
- FirstOrder.Language.HomClass.strongHomClassOfIsAlgebraicstatement and proof · cited by 0
- FirstOrder.Language.HomClass.toHom_toFunstatement and proof · cited by 0
- FirstOrder.Language.BoundedFormula.IsAtomic.realize_compstatement and proof · cited by 0