#05AB1E, 7 6 4 bytes
Code:
lIl-
Explanation:
l # Convert the first character to lower case
I # Get the second line of input
l # Convert the second line of input to lower case
- # Loop over the second line of text and substract each char from the first input
For example: "abcde""ba"- would result in "cde"
Truthy is when the current letter is outputted. Falsy is when nothing is outputted.