TeXipedia

minuscolon

Represents a minus sign followed by a colon, commonly used in mathematical logic and formal proofs.

Overview

Serves as a specialized notation in formal mathematics and logic, particularly in proof theory and formal reasoning systems.

  • Often appears in sequent calculus and formal deduction systems
  • Used to denote specific logical relationships or inference rules
  • Helpful in expressing mathematical statements where both subtraction and relation notation are needed
  • Commonly found in advanced mathematical texts and formal logic publications

Examples

Defining a set difference operation with explicit notation.

AB={xA:xB}A \minuscolon B = \{x \in A : x \notin B\}
A \minuscolon B = \{x \in A : x \notin B\}

Expressing a relative complement in set theory.

RQ= all irrational numbers\mathbb{R} \minuscolon \mathbb{Q} = \text{ all irrational numbers}
\mathbb{R} \minuscolon \mathbb{Q} = \text{ all irrational numbers}