Did Obama Confuse the Constitution With the Declaration of Independence?

During his State of the Union address, Obama said:
"We find unity in our incredible diversity, drawing on the promise enshrined in our Constitution: the notion that we are all created equal..."
Wrong founding document, Mr. President. It is in our Declaration of Independence that we read:
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.