离散数学(A-B)×C = (A × C ) - ( B× C)成立吗?

问题描述:

离散数学(A-B)×C = (A × C ) - ( B× C)成立吗?

  因
  ∈(A-B)×C
a∈(A-B) ∧ c∈C
a∈A∧ ┑a∈B ∧ c∈C
∈A×C ∧ ┑∈B×C
∈(A×C)-(B×C),
故得
  (A-B)×C = (A×C)-(B×C).哦哦。可踩否?嗯嗯