Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.sumElim
{L : FirstOrder.Language} →
{L' : FirstOrder.Language} → (L →ᴸ L') → {L'' : FirstOrder.Language} → (L'' →ᴸ L') → (L.sum L'' →ᴸ L')A language map defined on two factors of a sum.
- 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.
Cites7
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.Functionsproof · cited by 153
- FirstOrder.Language.Relationsproof · cited by 147
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.sumstatement · cited by 31
- FirstOrder.Language.LHom.onFunctionproof · cited by 27
- FirstOrder.Language.LHom.onRelationproof · cited by 27
Cited by10
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LEquiv.addEmptyConstantsproof · cited by 5
- Set.empty_definable_iffproof · cited by 2
- FirstOrder.Language.LEquiv.addEmptyConstants_invLHomstatement · cited by 2
- Set.termDefinable_empty_iffproof · cited by 1
- FirstOrder.Language.LHom.comp_sumElimstatement · cited by 0
- FirstOrder.Language.LHom.sumElim_comp_inlstatement · cited by 0
- FirstOrder.Language.LHom.sumElim_comp_inrstatement · cited by 0
- FirstOrder.Language.LHom.sumElim_inl_inrstatement · cited by 0
- FirstOrder.Language.LHom.sumElim_onFunctionstatement and proof · cited by 0
- FirstOrder.Language.LHom.sumElim_onRelationstatement and proof · cited by 0