以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)
举一反三
- 以下谓词蕴含式正确的是（）: (?x) (A(x)→B(x))=>( ?x)A(x)→(?x)B(x)|(?x) (A(x)?B(x))=>( ?x)A(x)?(?x)B(x)|(?x)A(x)∨(?x)B(x)=>( ?x) (A(x)∨B(x))|(?x) (A(x)∧B(x))=>(?x)A(x)∧(?x)B(x)
- 以下谓词等值式正确的是（多选）（ ）。 A: ∀x(A(x)∧B(x))⇔∀xA(x)∧∀xB(x) B: ∀x(A(x)∨B(x))⇔∀xA(x)∨∀xB(x) C: ∃x(A(x)∨B(x))⇔∃xA(x)∨∃xB(x) D: ∃x(A(x)∧B(x))⇔∃xA(x)∧∃xB(x)
- 蕴含式(∀x)A(x)⋁(∀x)B(x) ⟹(∀x)(A(x)⋁B(x))成立
- 与“﹁x(A(x)→B(x))”相等值的谓词公式是 A: x(A(x)∧﹁B(x)) B: x﹁(A(x)∧B(x)) C: x(A(x)∧﹁B(x)) D: x(A(x)∧﹁B(x))
- 与“﹁"x(A(x)→B(x))”相等值的谓词公式是? "x(A(x)∧﹁B(x))|$x﹁(A(x)∧B(x))|$x(A(x)∧﹁B(x))|"x﹁(A(x)→B(x))