TeXipedia

doublebarwedge

Represents a logical operator combining two bar symbols with a wedge shape, commonly used in mathematical logic and set theory.

Overview

Serves as a specialized mathematical operator that combines properties of both wedge and double bar notations, primarily appearing in advanced mathematical contexts.

  • Frequently used in formal logic and abstract algebra
  • Appears in proofs and theoretical mathematics papers
  • Often employed alongside other logical operators to express complex relationships
  • Particularly useful in situations requiring both conjunction-like and equivalence-like properties

Examples

Using the double bar wedge operator in a logical expression to represent conjunction.

p⩞q  ⟹  rp \doublebarwedge q \implies r 
p \doublebarwedge q \implies r

Combining multiple logical statements with double bar wedge operators.

(a⩞b)⩞(c⩞d)(a \doublebarwedge b) \doublebarwedge (c \doublebarwedge d) 
(a \doublebarwedge b) \doublebarwedge (c \doublebarwedge d)

Demonstrating logical equivalence with the double bar wedge operator.

p⩞q≡q⩞pp \doublebarwedge q \equiv q \doublebarwedge p 
p \doublebarwedge q \equiv q \doublebarwedge p