Theorems · Definition · logic and foundations
FirstOrder.Language.Term.liftAt
{L : FirstOrder.Language} → {α : Type u'} → {n : ℕ} → (n' : ℕ) → ℕ → L.Term (α ⊕ Fin n) → L.Term (α ⊕ Fin (n + n'))Raises all of the Fin-indexed variables of a term greater than or equal to m by n'.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
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.Termstatement · cited by 166
- FirstOrder.Language.Term.relabelproof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.liftAtproof · cited by 14
- FirstOrder.Language.Term.realize_liftAtstatement · cited by 1
- FirstOrder.Language.BoundedFormula.IsAtomic.liftAtproof · cited by 1
- FirstOrder.Language.BoundedFormula.realize_liftAtproof · cited by 0