Help in Generalized Slutsky

[johnp]

does anyone have any resources on the proof for the generalized slutsky theorem.

Xn converges in dist to X, Yn converges in dist to c, then (Xn,Yn) converges in dist to (Xn,c)

I know this is only valid if c is constant.

Any help is appreciated.

 

[quark]

Slutsky's original paper probably has the proof.

E Slutsky, 'On the Theory of the Budget of the Consumer', Readings in Price Theory, K E Bould-ing and G J Stigler, eds (1953)