Theorems · Definition · logic and foundations
FirstOrder.Language.Term.lt
{L : FirstOrder.Language} →
{α : Type w} → {n : ℕ} → [L.IsOrdered] → L.Term (α ⊕ Fin n) → L.Term (α ⊕ Fin n) → L.BoundedFormula α nJoins two terms t₁, t₂ in a formula representing t₁ < t₂.
- Defined in
- Mathlib.ModelTheory.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 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.BoundedFormulastatement · cited by 207
- FirstOrder.Language.Termstatement and proof · cited by 166
- FirstOrder.Language.BoundedFormula.notproof · cited by 27
- FirstOrder.Language.IsOrderedstatement and proof · cited by 19
- FirstOrder.Language.Term.leproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.denselyOrderedSentenceproof · cited by 5
- FirstOrder.Language.Term.realize_ltstatement · cited by 0