Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.sumInl
{L : FirstOrder.Language} → {L' : FirstOrder.Language} → L →ᴸ L.sum L'The inclusion of the left factor into the sum of two languages.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 17 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.LHomstatement · cited by 66
- FirstOrder.Language.sumstatement · cited by 31
Cited by11
Results whose statement or proof uses this declaration.
- FirstOrder.Language.lhomWithConstantsproof · cited by 39
- FirstOrder.Language.Substructure.elementarySkolem₁Reductproof · cited by 4
- FirstOrder.Language.LHom.sumInl_injectivestatement and proof · cited by 1
- FirstOrder.Language.LHom.sumMap_comp_inlstatement · cited by 0
- FirstOrder.Language.LHom.funMap_sumInlstatement and proof · cited by 0
- FirstOrder.Language.Substructure.skolem₁_reduct_isElementarystatement and proof · cited by 0
- FirstOrder.Language.LHom.sumElim_comp_inlstatement · cited by 0
- FirstOrder.Language.LHom.map_constants_comp_sumInlstatement and proof · cited by 0
- FirstOrder.Language.LHom.sumElim_inl_inrstatement · cited by 0
- FirstOrder.Language.LHom.sumInl_onFunctionstatement and proof · cited by 0
- FirstOrder.Language.LHom.sumInl_onRelationstatement and proof · cited by 0