>Why would the last group of N people not subsistence farm?
Why would they be able to reinvent that, when none of their ancestors for how many generations did so? Is that something a person can do well, do you think, with no prior experience or expertise? What if they get it wrong, they'll starve?
We could ask why they could reinvent all the technologies that people from prior eras of agriculture could manage? Will they instantly be able to make their own ropes, do you think? Have you ever made rope? Does it not count as technology if it's not a transistor etched into a silicon wafer? But previous eras of history did utilized that quite a bit for their agriculture. Are they supposed to make due without? There must be a hundred different things they won't know how to do, but were necessary for agriculture in any era of history you might name, but that you can't name because you know nothing about it.
Technologies, ones so mundane that you don't even recognize they exist, permeate the world. They're lost and then they're gone because a replacement was better. But when the replacement disappears, those lost technologies don't spring back into existence magically. Civilization is "path dependent", it doesn't get knocked back to previous tiers because those previous tiers cease to exist once we've moved on to the next. And it's really hilarious to me that not only are you ignorant of this, but you're snarky about it too.
> when none of their ancestors for how many generations [farmed]
Because they'd still have books and seeds and farming implements lying around? And maybe some actual farmers to learn from?
> What if they get it wrong, they'll starve?
Probably, yeah many will starve. Early English settlers in North America had very little farming experience and many died. Enough survived to build colonies.
You should realise (apparently not?) that many people alive today still farm with minimal technology .. moreover there are people alive still hunting and gathering.
They've not lost their skill to survive sans tech - unlike, say, yourself.
Still, if it helps you - take notes: https://www.youtube.com/watch?v=7gmCX7R-W4c
They don't need to reinvent it - the Amish are doing it right now to some variation of "Amish on a tractor" if you want.
Insisting that negative population growth necessarily means extinction is as silly as saying that positive population growth necessarily means people standing on people from coast to coast.