#[05AB1E](https://github.com/Adriandmen/05AB1E/wiki/Commands), 6 [bytes](https://github.com/Adriandmen/05AB1E/wiki/Codepage)
ÇÂs{αß
Only `1` is truthy in 05AB1E, and it'll output `0` (or `""` for the empty string) as falsey.
[Try it online](https://tio.run/##yy9OTMpM/f//cPvhpuLqcxsPz///PxEEkkAAAA) or [verify all test cases](https://tio.run/##yy9OTMpM/V9Waa@k8KhtkoKSfeX/w@2Hm4qrz208PP@/zv9opcQkJR2lxMQkCAWkoQwQC8YEs@EcCA/EBYkAMUQGxAATUIUQY0EkWBhiQxJUHZgNVQ4zGOoAiD6IlkQoBTEGZg7UIIhJEKMgGpKglkBtgVkDsydJKRYA).
**Explanation:**
<!-- language-all: lang-python -->
Ç # Convert the (implicit) input-string to a list of integer codepoints
# i.e. "aaabbb" → [97,97,97,98,98,98]
# i.e. "baba" → [98,97,98,97]
# i.e. "aab" → [97,97,98]
# i.e. "" → []
 # Bifurcate this list (short for Duplicate & Reverse copy)
# STACK: [[97,97,97,98,98,98], [98,98,98,97,97,97]]
# STACK: [[98,97,98,97], [97,98,97,98]]
# STACK: [[97,97,98], [98,97,97]]
# STACK: [[], []]
s # Swap to get the duplicated list
# STACK: [[98,98,98,97,97,97], [97,97,97,98,98,98]]
# STACK: [[97,98,97,98], [98,97,98,97]]
# STACK: [[98,97,97], [97,97,98]]
# STACK: [[], []]
{ # Sort it
# STACK: [[98,98,98,97,97,97], [97,97,97,98,98,98]]
# STACK: [[97,98,97,98], [97,97,98,98]]
# STACK: [[98,97,97], [97,97,98]]
# STACK: [[], []]
α # Take the absolute difference at the same positions
# STACK: [[1,1,1,1,1,1]]
# STACK: [[0,1,1,0]]
# STACK: [[1,0,1]]
# STACK: [[], []]
ß # And take the minimum, which will be 1 if all were truthy;
# 0 if any were falsey; or an empty string if the list is empty
# STACK: [1]
# STACK: [0]
# STACK: [0]
# STACK: [""]
# (after which it is output implicitly as result)