TeXipedia

And

Represents a logical AND operator with enhanced spacing, commonly used in formal logic and mathematical proofs.

Overview

Provides a more aesthetically pleasing alternative to the standard 'and' conjunction in mathematical and logical expressions, featuring appropriate spacing on both sides.

  • Particularly useful in formal logic statements and theorem proving
  • Often employed in discrete mathematics and computer science proofs
  • Preferred over simple 'and' when writing formal logical expressions or axioms
  • Creates better visual separation between logical components compared to standard text conjunctions

Examples

Logical conjunction in a compound logical statement

p&q&r    sp \And q \And r \implies s
p \And q \And r \implies s

Multiple conditions in a mathematical definition

x>0&x<1    x(0,1)x > 0 \And x < 1 \implies x \in (0,1)
x > 0 \And x < 1 \implies x \in (0,1)

System requirements specification

CPU>2GHz&RAM>4GB\text{CPU} > 2\text{GHz} \And \text{RAM} > 4\text{GB}
\text{CPU} > 2\text{GHz} \And \text{RAM} > 4\text{GB}