[Merged by Bors] - feat(NumberField/Cyclotomic): splitting of the prime p in the p^k-th cyclotomic field

[xroblot]

The prime ideal above the prime p in the p^k-th cyclotomic field is totally ramified.

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[github-actions]

PR summary 1838dfbf5d

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.NumberTheory.NumberField.Cyclotomic.Ideal (new file)	2535

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Declarations diff

+ absNorm_eq_pow_inertiaDeg'
+ absNorm_span_zeta_sub_one
+ associated_map_sub_one_map_sub_one
+ associated_norm_zeta_sub_one
+ associated_sub_one_map_sub_one
+ eq_span_zeta_sub_one_of_liesOver
+ finrank
+ inertiaDeg_eq_of_prime_pow
+ inertiaDeg_span_zeta_sub_one
+ isPrime_span_zeta_sub_one
+ liesOver_span_zeta_sub_one
+ map_eq_span_zeta_sub_one_pow
+ ncard_primesOver_of_prime_pow
+ p_mem_span_zeta_sub_one
+ ramificationIdx_eq_of_prime_pow
+ ramificationIdx_span_zeta_sub_one
+ span_zeta_sub_one_ne_bot

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[riccardobrasca]

@erdOne do you know it there are plans to add a IsTotallyRamified predicate?

[erdOne]

I'm not aware of any.

[riccardobrasca]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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