Theorems · Definition · logic and foundations
FirstOrder.Language.leOfStructure
(L : FirstOrder.Language) → (M : Type w') → [L.IsOrdered] → [L.Structure M] → LE M
Any structure in an ordered language can be ordered correspondingly.
- Defined in
- Mathlib.ModelTheory.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext
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
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Structure.RelMapproof · cited by 68
- FirstOrder.Language.IsOrderedstatement and proof · cited by 19
- FirstOrder.Language.IsOrdered.leSymbproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.preorderOfModelsproof · cited by 0
- FirstOrder.Language.decidableLEOfStructurestatement · cited by 0