# Definify.com

## Definition 2024

## relative_pseudo-complement

# relative pseudo-complement

## English

### Noun

**relative pseudo-complement** (*plural* **relative pseudo-complements**)

- (mathematics) The residual operation of a Heyting algebra when considered as a residuated lattice whose monoid operation is the meet operation. Equivalently, the
*relative pseudo-complement*of*a*with respect to*b*is the supremum of the set of all*z*such that , where denotes the meet operation of the given Heyting algebra.

#### Usage notes

- The
*relative pseudo-complement*is analogous to material implication and may be represented by an infix right arrow: .