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Metamath Proof Explorer
Description: De Morgan's law for intersection. Theorem 5.2(13') of Stoll p. 19.
(Contributed by NM, 18-Aug-2004)
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Ref |
Expression |
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Assertion |
indm |
⊢ ( V ∖ ( 𝐴 ∩ 𝐵 ) ) = ( ( V ∖ 𝐴 ) ∪ ( V ∖ 𝐵 ) ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
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difindi |
⊢ ( V ∖ ( 𝐴 ∩ 𝐵 ) ) = ( ( V ∖ 𝐴 ) ∪ ( V ∖ 𝐵 ) ) |