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feat(ring_theory/power_series): order (#1292)
* First start on power_series * Innocent changes * Almost a comm_semiring * Defined hom from mv_polynomial to mv_power_series; sorrys remain * Attempt that seem to go nowhere * Working on coeff_mul for polynomials * Small progress * Finish mv_polynomial.coeff_mul * Cleaner proof of mv_polynomial.coeff_mul * Fix build * WIP * Finish proof of mul_assoc * WIP * Golfing coeff_mul * WIP * Crazy wf is crazy * mv_power_series over local ring is local * WIP * Add empty line * wip * wip * WIP * WIP * WIP * Add header comments * WIP * WIP * Fix finsupp build * Fix build, hopefully * Fix build: ideals * More docs * Update src/data/power_series.lean Fix typo. * Fix build -- bump instance search depth * Make changes according to some of the review comments * Use 'formal' in the names * Use 'protected' in more places, remove '@simp's * Make 'inv_eq_zero' an iff * Generalize to non-commutative scalars * Order of a power series * Start on formal Laurent series * WIP * Remove file. It's for another PR. * Add stuff about order * Remove old file * Basics on order of power series * Lots of stuff * Move stuff on kernels * Move stuff on ker to the right place * Fix build * Add elim_cast attributes, update documentation * Bundle homs * Fix build * Remove duplicate trunc_C * Fix build
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