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goal HOL.thy
  "(A & B)-->(B & A)";
br impI 1;
br conjI 1;
be conjE 1;
ba 1;
be conjE 1;
ba 1;
qed "and_comms";

goal HOL.thy
  "(A & B)-->(B & A)";
br impI 1;
br conjI 1;
be conjE 1;
ba 1;
be conjE 1;
ba 1;
qed "and_comms";