In a large bowl, use a hand mixer (see note) to beat the cream cheese on low speed for about 1 minute, or until smooth.
Add the sour cream, sugar, and salt and mix on low speed until just combined, scraping down the sides of the bowl as needed.
In a small bowl, beat the eggs lightly to break them up. Add the beaten eggs and vanilla to the bowl with the cream cheese mixture. Mix on low speed until just combined, scraping the sides of the bowl as needed and being very careful to not over-mix the batter.
Pour the batter into the crust in the pan. Smooth out the top and tap the pan on the counter a few times to remove any large air bubbles. Cover the top of the pan with foil.
Pour 1 ¼ cups water into the bottom of a 6 quart Instant Pot or 1 ½ cups water if using an 8 quart Instant Pot. Place the trivet in the pot.
Make a foil sling by folding a long piece of foil in thirds lengthwise. Set the cheesecake in the center of the foil sling and then carefully place it on the trivet in the Instant Pot. Fold down any overhang of the foil sling.
If you have a sealing ring that you use just for baking, remember to put it on your Instant Pot lid (to prevent transfer of savory flavors to the cheesecake.) Close the Instant Pot lid and turn the steam release valve to the sealing position.
Set the cook time to 32 minutes at high pressure. The Instant Pot will take about 10 minutes to reach pressure and then the cook time will start counting down. When the cook time ends, allow the pressure to release naturally. This will take about 8-10 minutes.
As soon as the pin drops down, carefully open the Instant Pot lid. Use the foil sling to remove the pan from the Instant Pot. Remove the foil on top of the cheesecake and check that the cheesecake is done. Cheesecake is done when the edges are set and the center jiggles just a little bit and the center of the cheesecake registers at least 150° F on an instant read thermometer. (If the cheesecake is not done, you can pressure cook it for another minute or two. Check that there is enough water in the bottom of the pot before pressure cooking.)
If there is any condensation on top of the cheesecake, blot it very gently with a paper towel. Take the foil sling out from under the cheesecake.
Place the pan on a wire rack and let the cheesecake cool for about 1 hour at room temperature. Then remove the sides of the pan from the cheesecake (this prevents the crust from getting soggy - do not remove the bottom pan until the cheesecake is fully chilled). Chill the cheesecake for at least 8 hours or overnight in the refrigerator before serving.