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Theorems · Theorem · logic and foundations

FirstOrder.Language.Theory.CompleteType.isMaximal

∀ {L : FirstOrder.Language} {T : L.Theory} {α : Type w} (p : T.CompleteType α), FirstOrder.Language.Theory.IsMaximal ↑p
Defined in
Mathlib.ModelTheory.Types
Cited by
8 results in Mathlib
Foundations
Depth 24 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.Theory.CompleteType.setOfPred_subset_eq_empty_iff · cited by 3CompleteType.setOfPred_su…FirstOrder.Language.Theory.CompleteType.mem_or_not_mem · cited by 2CompleteType.mem_or_not_m…FirstOrder.Language.Theory.CompleteType.not_mem_iff · cited by 1CompleteType.not_mem_iffFirstOrder.Language.Theory.CompleteType.typesWith_inf · cited by 1CompleteType.typesWith_infFirstOrder.Language.Theory.CompleteType.typesWith_top · cited by 1CompleteType.typesWith_topFirstOrder.Language.Theory.CompleteType.mem_of_models · cited by 0CompleteType.mem_of_modelsFirstOrder.Language.Theory.CompleteType.toList_foldr_inf_mem · cited by 0CompleteType.toList_foldr…FirstOrder.Language.Theory.exists_modelType_is_realized_in · cited by 0Theory.exists_modelType_i…SetLike.coe · cited by 8199SetLike.coeFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Theory · cited by 154Language.TheoryFirstOrder.Language.Sentence · cited by 127Language.SentenceFirstOrder.Language.withConstants · cited by 108Language.withConstantsFirstOrder.Language.Theory.CompleteType · cited by 35Theory.CompleteTypeFirstOrder.Language.Theory.IsMaximal · cited by 10Theory.IsMaximalFirstOrder.Language.Theory.CompleteType.isMaximal' · cited by 1CompleteType.isMaximal'CompleteType.isMaximalCITED BYCITES

Cites8

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Cited by8

Results whose statement or proof uses this declaration.