## The Laws of Association (MA178E)

- Details
- Published: Saturday, 30 April 2016 00:00
- Written by Newton C. Braga

Grouping does not affect disjunction or conjunction. Figure below shows equivalent diagrams.

Figure 1

**Association Laws: **

a + (b + c) = (a + b) + c

a x (b x c) = (a x b) x c

**Mathematic Notation: **

a ∪ (b ∪ c) = (a ∪ b) ∪ c

a ∩ (b ∩ c) = (a ∩ b) ∩ c

**Logic Notation: **

a ∧ (b ∧ c) = (a ∧ b) ∧ c

a ∨ (b ∨ c) = (a ∨ b) ∨ c