[Merged by Bors] - feat(RingTheory/PowerSeries): Construction of Q such that P(Q(X)) = X#26645
[Merged by Bors] - feat(RingTheory/PowerSeries): Construction of Q such that P(Q(X)) = X#26645erdOne wants to merge 6 commits intoleanprover-community:masterfrom
Q such that P(Q(X)) = X#26645Conversation
PR summary 18a09f9093Import changes for modified filesNo significant changes to the import graph Import changes for all files
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I understand that this is a very neat direct proof. But would it be better to first construct the inverse for p = 0+x+O(x^2)? Then presumably you can use "universal polynomials" like they did when defining WittVector.wittAdd? (both of these might be not desirable) |
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Do you mean constructing the inverse to the power series |
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Yes but I think I still want a1=1 here. |
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It is easy to get what you are describing from what I already have by plugging in |
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ah I should have been more clear. I think from doing 0+x+O(x^2) first you get the benefit of not having to use 1/, so the proofs should be "easier"? |
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Can you add a variant assuming |
I am happy to add a variant assuming |
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There's nothing wrong with this PR, let's just merge it and others can add variants later. bors merge |
…= X` (#26645) This contribution was created as part of the ZMC conference 2025 "Anabelian Geometry and its Computer Formalization". Co-authored-by: Junnosuke Koizumi Co-authored-by: Hyeon, Seung-Hyeon Co-authored-by: Yuichiro Taguchi
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Pull request successfully merged into master. Build succeeded: |
Q such that P(Q(X)) = XQ such that P(Q(X)) = X
…= X` (leanprover-community#26645) This contribution was created as part of the ZMC conference 2025 "Anabelian Geometry and its Computer Formalization". Co-authored-by: Junnosuke Koizumi Co-authored-by: Hyeon, Seung-Hyeon Co-authored-by: Yuichiro Taguchi
Co-authored-by: Junnosuke Koizumi
Co-authored-by: Hyeon, Seung-Hyeon
Co-authored-by: Yuichiro Taguchi
This contribution was created as part of the ZMC conference 2025 "Anabelian Geometry and its Computer Formalization".