Her: I just got my car back from the garage. They told me to keep an eye on the tyre wear, but I don't really know what that means or how to do it.
Me: I can show you how to do that if you like?
Her: I don't need you to mansplain things to me! MAN KNOW CAR THING, WOMAN NO DO.
I stopped myself from correcting her interpretation of mansplaining, because it was clear that any man was forbidden from communicating normally with her.
One of the biggest and best lessons I've learned is that it's OK for other people to be wrong. There's few situations in personal life where it's necessary to correct or educate others - they'll figure it out eventually.
I was taught a long time ago a simple idea ... Men hear a problem and try to solve it...”i don't know x" ok let me teach you" or "I can't get this thing to work" ok let me try if I can.
Women on initial compliant some times just want to know that you know they are struggling. Instead of "let me teach you” you could say "I'm sure you will understand" or "I know it's difficult but you got this".
Yes it varies by person some men prefer the latter and some women prefer the former. As with most things it's up to you to know your partner and what they want...
Just start glaring disapprovingly for half an hour at minimum, shake your head slightly and then look away if you catch their eyes and most importantly refuse to explain yourself for days afterwards, just mumble something about "zplane" from time to time and if they respond just exasperatedly say "women" and walk away.
For most things where the person you're talking to should know better than you, e.g. marginalized groups, field experts, professionals, etc. I might go with something like "Sorry, I don't quite get it. Can you look up a definition to help me understand better?"