I wanted to know if I translated the below sentence correctly to predicate logic
Only blue birds like singing and flying
∀ X • blue(X) ∧ bird(X) ⇒ likeSinging(X) ∧ likesFlying(X).
I wanted to know if I translated the below sentence correctly to predicate logic
Only blue birds like singing and flying
∀ X • blue(X) ∧ bird(X) ⇒ likeSinging(X) ∧ likesFlying(X).
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The implication is running the wrong way. We want $$\forall x((\text{likesSinging}(x)\land\text{likesFlying}(x))\implies (\text{blue}(x)\land\text{bird}(x))).$$