Theorem indm

Description: De Morgan's law for intersection. Theorem 5.2(13') of Stoll p. 19. (Contributed by NM, 18-Aug-2004)

	Ref	Expression
Assertion	indm	⊢ ( V ∖ ( 𝐴 ∩ 𝐵 ) ) = ( ( V ∖ 𝐴 ) ∪ ( V ∖ 𝐵 ) )

Proof

Step	Hyp	Ref	Expression
1		difindi	⊢ ( V ∖ ( 𝐴 ∩ 𝐵 ) ) = ( ( V ∖ 𝐴 ) ∪ ( V ∖ 𝐵 ) )