Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.Term.substFunc

{L : FirstOrder.Language} →
  {L' : FirstOrder.Language} → {α : Type u'} → L.Term α → ({n : ℕ} → L.Functions n → L'.Term (Fin n)) → L'.Term α

Substitutes the functions in a given term with expressions.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
4 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.Term.realize_substFunc · cited by 1Term.realize_substFuncSet.TermDefinable.trans · cited by 0TermDefinable.transFirstOrder.Language.Term.substFunc.eq_def · cited by 0substFunc.eq_defFirstOrder.Language.Term.substFunc_term · cited by 0Term.substFunc_termFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Term · cited by 166Language.TermFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.Term.brecOn · cited by 1Term.brecOnTerm.substFuncCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.