A⊆B then A∩B equal to
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ONLY IF: A ⊆B means if x is element of A, x is element of B, so: every element of A is element of B (because A ⊆B), thus element of A∩B. every element of A∩B is element of A (definition of ∩) so A∩B = A (the condition has to be met, so ONLY IF)
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A subset B,then A intersection B= A
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