Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.partialOrderTheory

(L : FirstOrder.Language) → [L.IsOrdered] → L.Theory

The theory of partial orders.

Defined in
Mathlib.ModelTheory.Order
Cited by
0 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext
Assumes
FirstOrder.Language.IsOrdered
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Around this declaration

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

FirstOrder.Language.linearOrderTheory · cited by 7Language.linearOrderTheoryFirstOrder.Language.partialOrderOfModels · cited by 0Language.partialOrderOfMo…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Theory · cited by 154Language.TheoryFirstOrder.Language.IsOrdered · cited by 19Language.IsOrderedFirstOrder.Language.IsOrdered.leSymb · cited by 6IsOrdered.leSymbFirstOrder.Language.Relations.antisymmetric · cited by 2Relations.antisymmetricFirstOrder.Language.preorderTheory · cited by 0Language.preorderTheoryLanguage.partialOrderTheoryCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.