Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.sum

FirstOrder.Language → FirstOrder.Language → FirstOrder.Language

The sum of two languages consists of the disjoint union of their symbols.

Defined in
Mathlib.ModelTheory.Basic
Cited by
31 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

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FirstOrder.Language.withConstants · cited by 108Language.withConstantsFirstOrder.Language.LHom.sumElim · cited by 9LHom.sumElimFirstOrder.Language.LHom.sumInl · cited by 9LHom.sumInlFirstOrder.Language.LHom.sumInr · cited by 9LHom.sumInrFirstOrder.Language.Substructure.elementarySkolem₁Reduct · cited by 4Substructure.elementarySk…FirstOrder.Language.LHom.sumMap · cited by 4LHom.sumMapFirstOrder.Language.card_functions_sum · cited by 2Language.card_functions_s…FirstOrder.Language.LEquiv.addEmptyConstants_invLHom · cited by 2LEquiv.addEmptyConstants_…FirstOrder.Language.Substructure.coeSort_elementarySkolem₁Reduct · cited by 1Substructure.coeSort_elem…FirstOrder.Language.card_functions_sum_skolem₁ · cited by 1Language.card_functions_s…FirstOrder.Language.card_functions_sum_skolem₁_le · cited by 1Language.card_functions_s…FirstOrder.Language.card_relations_sum · cited by 1Language.card_relations_s…FirstOrder.Language.card_sum · cited by 1Language.card_sumFirstOrder.Language.LHom.sumInl_injective · cited by 1LHom.sumInl_injectiveFirstOrder.Language.exists_elementarySubstructure_card_eq · cited by 1Language.exists_elementar…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.Relations · cited by 147Language.RelationsLanguage.sumCITED BYCITES

Cites3

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Cited by37

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