 ##  [Substitution](/substitution) 

  ##  [Substitution](https://mathlogic.quantumdictionary.io/substitution-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A mapping from variables to terms which, when applied to a term or formula, replaces each variable in its domain uniformly by the corresponding term and extends homomorphically to compound terms.