Theorems · Definition · logic and foundations
FirstOrder.Language.linearOrderTheory
(L : FirstOrder.Language) → [L.IsOrdered] → L.Theory
The theory of linear orders.
- Defined in
- Mathlib.ModelTheory.Order
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Theorystatement · cited by 154
- FirstOrder.Language.IsOrderedstatement and proof · cited by 19
- FirstOrder.Language.IsOrdered.leSymbproof · cited by 6
- FirstOrder.Language.Relations.totalproof · cited by 2
- FirstOrder.Language.partialOrderTheoryproof · cited by 0
Cited by9
Results whose statement or proof uses this declaration.
- FirstOrder.Language.dloproof · cited by 8
- FirstOrder.Language.linearOrderOfModelsstatement and proof · cited by 2
- FirstOrder.Language.isFraisseLimit_of_countable_nonempty_dlostatement · cited by 2
- FirstOrder.Language.noTopOrder_of_dloproof · cited by 1
- FirstOrder.Language.denselyOrdered_of_dloproof · cited by 1
- FirstOrder.Language.noBotOrder_of_dloproof · cited by 1
- FirstOrder.Language.dlo_agestatement and proof · cited by 1
- FirstOrder.Language.dlo_isExtensionPairstatement and proof · cited by 1
- FirstOrder.Language.isFraisse_finite_linear_orderstatement and proof · cited by 0