efficiently checking for string.maketrans conflicts?

[Saketh]

Hi everyone:

I'm using "translation" in the sense of string.maketrans here.

I am trying to efficiently compare if two string translations
"conflict" -- that is, either they differently translate the same
letter, or they translate two different letters to the same one. Here
are some examples:

    # no conflict - equal
    t1 = Translation('ab', 'cd')
    t2 = Translation('ab', 'cd')

    # no conflict - inverses
    t1 = Translation('ab', 'cd')
    t2 = Translation('cd', 'ab')

    # conflict - same key, different value
    t1 = Translation('ab', 'cd')
    t2 = Translation('ab', 'ce')

    # conflict - different key, same value
    t1 = Translation('ab', 'cd')
    t2 = Translation('xy', 'cd')

This conflict-checking is the bottleneck of my program, and the
obvious way to implement it -- looping through the translations and
explicitly checking for the above conditions -- is much slower than
I'd like.

Is there a more efficient, Pythonic way of checking if two
translations conflict?

Sincerely,
Saketh