 ##  [Consequence Conservation](/consequence-conservation) 

  ##  [Consequence Conservation](https://mathlogic.quantumdictionary.io/consequence-conservation-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

The property of a translation, mapping, or extension between logical systems that guarantees entailments (consequences) in one system correspond to entailments in the other, so no consequences are spuriously added or lost under the translation.