feat(Date/Choose): add some lemmas about choose of prime pow

[WenrongZou]

In this PR, I add some lemma about choose of prime pow.

1. For primes p and positive integer n, assume that for all i ∈ Icc 1 (n - 1), choose n i congruent to 0 module p, then n = p ^ multiplicity p n.
2. For a prime power n, the greatest common divisor of choose n 1, ⋯, choose n (n - 1) is actually the minimal prime factor of n.
3. For a natural number n greater than 1, assume that n is not a prime power, then the greatest common divisor of choose n 1, ⋯, choose n (n - 1) is 1.

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[github-actions]

PR summary 4f7183fb7f

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ eq_pow_multiplicity_of_choose_modEq_zero
+ eq_pow_multiplicity_of_choose_modEq_zero_nat
+ gcd_choose_eq_minFac_of_isPrimePow
+ gcd_choose_eq_one_of_not_isPrimePow
+ minFac_dvd_gcd_choose_of_isPrimePow

You can run this locally as follows

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

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

The doc-module for scripts/pr_summary/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/reporting/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).