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Commit 2019-01-10 12:11 6e97721b

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refactor(principal_ideal_domain): simplify proof of PID -> UFD

Estimated changes

Modified ring_theory/noetherian.lean

added theorem is_noetherian_ring.exists_factors

Modified ring_theory/principal_ideal_domain.lean

deleted theorem principal_ideal_domain.associated_of_associated_prod_prod

added theorem principal_ideal_domain.associates_iredducible_iff_prime

deleted theorem principal_ideal_domain.associates_prime_of_irreducible

deleted theorem principal_ideal_domain.eq_of_prod_eq_associates

deleted theorem principal_ideal_domain.exists_factors

added theorem principal_ideal_domain.irreducible_iff_prime

deleted theorem principal_ideal_domain.prime_of_irreducible

Modified ring_theory/unique_factorization_domain.lean

modified theorem unique_factorization_domain.irreducible_factors