Question: Let W1,W2,W3 be subspaces of a vector space. Prove that (W1 W2) + (W1 W3) W1 (W2 + W3). Does the

Let W1,W2,W3 be subspaces of a vector space. Prove that (W1 ∩ W2) + (W1 ∩ W3) ⊂ W1 ∩ (W2 + W3). Does the inclusion reverse?

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