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Math Help - Theorem (proof that)

  1. #1
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    Theorem (proof that)

    Theorem (proof that)
    a) A Δ B = A B if A ∩ B= Φ
    b) A ∩ (B C) = (A ∩ B) (A ∩ C)

    please help me.
    thank you.
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  2. #2
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    Re: Theorem (proof that)

    Quote Originally Posted by reza95 View Post
    Theorem (proof that)
    a) A Δ B = A B if A ∩ B= Φ
    b) A ∩ (B C) = (A ∩ B) (A ∩ C)
    For a) $A\Delta B=(A\setminus B)\cup(B\setminus A)$ note that if $A\cap B=\emptyset$ then $(A\setminus B)=A$.

    For b) Recall $A \wedge (B \vee C) \equiv (A \wedge B) \vee (A \wedge C)$.
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