Contraposition, law of
From Encyclopedia of Mathematics
The logical principle according to which if one statement implies another, then the negation of the latter implies the negation of the former:
$$(A\superset B)\superset(\neg B\superset\neg A).$$
The law of contraposition is used both in classical and constructive logic.
How to Cite This Entry:
Contraposition, law of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contraposition,_law_of&oldid=31976
Contraposition, law of. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Contraposition,_law_of&oldid=31976
This article was adapted from an original article by S.K. Sobolev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article