Theorems · Definition · logic and foundations
FirstOrder.Language.Hom.id
(L : FirstOrder.Language) → (M : Type w) → [inst : L.Structure M] → L.Hom M M
The identity map from a structure to itself.
- Defined in
- Mathlib.ModelTheory.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 10 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.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Homstatement · cited by 107
Cited by10
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Equiv.refl_toHomstatement · cited by 2
- FirstOrder.Language.Hom.id_applystatement · cited by 0
- FirstOrder.Language.Hom.id_compstatement · cited by 0
- FirstOrder.Language.Embedding.refl_toHomstatement · cited by 0
- FirstOrder.Language.Substructure.map_idstatement and proof · cited by 0
- FirstOrder.Language.Equiv.self_comp_symm_toHomstatement and proof · cited by 0
- FirstOrder.Language.Substructure.comap_idstatement · cited by 0
- FirstOrder.Language.Equiv.symm_comp_self_toHomstatement and proof · cited by 0
- FirstOrder.Language.Hom.comp_idstatement · cited by 0
- FirstOrder.Language.Hom.range_idstatement and proof · cited by 0