Theorems · Definition · logic and foundations
FirstOrder.Language.BoundedFormula.castLE
{L : FirstOrder.Language} → {α : Type u'} → {m n : ℕ} → m ≤ n → L.BoundedFormula α m → L.BoundedFormula α nCasts L.BoundedFormula α m as L.BoundedFormula α n, where m ≤ n.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 and proof · cited by 207
- FirstOrder.Language.BoundedFormula.brecOnproof · cited by 1
Cited by15
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.relabelproof · cited by 17
- FirstOrder.Language.BoundedFormula.liftAtproof · cited by 14
- FirstOrder.Language.BoundedFormula.castLE_rflstatement and proof · cited by 4
- FirstOrder.Language.BoundedFormula.relabel_allproof · cited by 2
- FirstOrder.Language.BoundedFormula.realize_mapTermRel_add_castLestatement and proof · cited by 1
- FirstOrder.Language.BoundedFormula.IsAtomic.castLEstatement · cited by 1
- FirstOrder.Language.BoundedFormula.realize_castLE_of_eqstatement · cited by 1
- FirstOrder.Language.BoundedFormula.castLE_castLEstatement and proof · cited by 1
- FirstOrder.Language.BoundedFormula.IsPrenex.castLEstatement and proof · cited by 1
- FirstOrder.Language.BoundedFormula.castLE.congr_simpstatement and proof · cited by 1
- FirstOrder.Language.BoundedFormula.IsQF.castLEstatement and proof · cited by 1
- FirstOrder.Language.BoundedFormula.realize_liftAtproof · cited by 0