Theorems · Definition · logic and foundations
FirstOrder.Language.Term.subst
{L : FirstOrder.Language} → {α : Type u'} → {β : Type v'} → L.Term α → (α → L.Term β) → L.Term βSubstitutes the variables in a given term with terms.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 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 and proof · cited by 166
- FirstOrder.Language.Term.brecOnproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.substproof · cited by 3
- FirstOrder.Language.Term.realize_subststatement and proof · cited by 3
- Set.TermDefinable.compproof · cited by 2
- FirstOrder.Language.Term.substFunc_termproof · cited by 0
- FirstOrder.Language.Term.subst.eq_defstatement and proof · cited by 0
- FirstOrder.Language.Term.substFunc.eq_defstatement and proof · cited by 0