New Smooth Take-Off planet

[WenrongZou]

• depends on new planet Slope #151
• depends on New planet Cartan to introduce Filter #156

[TentativeConvert]

Overall structure with Boss = (derivative computation) and final level = (main statement as easy corollary) looks good to me. Still has a number of tactics that we haven't introduced in the game (like refine and convert). You could introduce these, but that would require additional levels for practising these tactics. So it might be easier to try to find alternative proofs that avoid them.

[WenrongZou]

I think refine and convert only exist in the Branch of the proof, where I use them to record the mathlib proof. In the main branch of the proof, I have already avoided to use these two tactics.

[TentativeConvert]

I think refine and convert only exist in the Branch of the proof, where I use them to record the mathlib proof. In the main branch of the proof, I have already avoided to use these two tactics.

Indeed. Sorry I didn't notice this.

[WenrongZou]

We introduced MvPolynomial in the planet Saturn L03. I wonder if we should also introduce Polynomial there. @TentativeConvert

[TentativeConvert]

Good idea! Can you replace MvPolynomial with Polynomial in the first level of that Saturn that mentions polynomials? And edit the Hints/Intro etc. in that level and the next, so that one level introduces Polynomial, and the next introduces MvPolynomial?