Theorems · Theorem · logic and foundations
FirstOrder.Language.HomClass.toHom_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 : L.HomClass F M N] (a : F) (a_1 : M),
(FirstOrder.Language.HomClass.toHom a) a_1 = a a_1- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Homstatement · cited by 107
- FirstOrder.Language.HomClassstatement and proof · cited by 10
- FirstOrder.Language.HomClass.toHomstatement and proof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.