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"alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF002D" }, { "name": "gaussian_add_output_transport", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF002E" }, { "name": "gaussian_multiply_output_transport", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF002F" }, { "name": "gaussian_multiply_associative_reverse", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0030" }, { "name": "gaussian_multiply_swap_tail", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0031" }, { "name": "gaussian_ring_multiply_add_real_positive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0032" }, { "name": "gaussian_ring_multiply_add_real_negative", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0033" }, { "name": "gaussian_ring_multiply_add_imaginary_positive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0034" }, { "name": "gaussian_ring_multiply_add_imaginary_negative", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0035" }, { "name": "gaussian_ring_raw_multiply_add_distributive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, 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"stable_member": false }, "recorded_first_version": "v30", "tag": "GF0043" }, { "name": "gaussian_divides_reflexive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0044" }, { "name": "gaussian_divides_zero", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0045" }, { "name": "gaussian_one_divides", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0046" }, { "name": "gaussian_zero_divides_only_zero", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0047" }, { "name": "gaussian_divides_transitive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0048" }, { "name": "gaussian_divides_product_left", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0049" }, { "name": "gaussian_divides_product_right", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF004A" }, { "name": "gaussian_common_divisor_add", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF004B" }, { "name": "gaussian_common_divisor_subtract", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF004C" }, { "name": "gaussian_unit_divides", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF004D" }, { "name": "gaussian_divisor_of_unit_is_unit", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF004E" }, { "name": "gaussian_common_divisor_euclidean_forward", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF004F" }, { "name": "gaussian_common_divisor_euclidean_backward", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0050" }, { "name": "gaussian_division_zero_remainder_divides", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0051" }, { "name": "gaussian_division_divisible_remainder_zero", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0052" }, { "name": "gaussian_divides_decidable", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0053" }, { "name": "gaussian_associate_reflexive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0054" }, { "name": "gaussian_associate_symmetric", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0055" }, { "name": "gaussian_associate_transitive", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0056" }, { "name": "gaussian_associate_of_unit_cofactor", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0057" }, { "name": "gaussian_associate_divides", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0058" }, { "name": "gaussian_associate_norm", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0059" }, { "name": "gaussian_mutual_divisibility_associate", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF005A" }, { "name": "gaussian_divisor_norm_factor", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF005B" }, { "name": "gaussian_divisor_norm_bound", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF005C" }, { "name": "gaussian_nonunit_divisor_of_irreducible_is_associate", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF005D" }, { "name": "gaussian_irreducible_divides_irreducible_associate", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF005E" }, { "name": "gaussian_gcd_bezout_zero_right", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF005F" }, { "name": "gaussian_gcd_bezout_zero_case", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0060" }, { "name": "gaussian_common_divisor_of_bezout", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0061" }, { "name": "gaussian_gcd_euclidean_backward", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0062" }, { "name": "gaussian_bezout_euclidean_backward", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0063" }, { "name": "gaussian_gcd_bezout_bounded_exists", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0064" }, { "name": "gaussian_gcd_bezout_exists", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0065" }, { "name": "gaussian_gcd_unique_up_to_associate", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0066" }, { "name": "gaussian_bezout_unit_divisor_cancel", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0067" }, { "name": "gaussian_nonzero_product_divisor_unit_cofactor", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0068" }, { "name": "gaussian_irreducible_dvd_product", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0069" }, { "name": "gaussian_irreducible_is_prime", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF006A" }, { "name": "gaussian_prime_is_irreducible", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF006B" }, { "name": "gaussian_irreducible_iff_prime", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF006C" }, { "name": "gaussian_search_natural_le_square", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF006D" }, { "name": "gaussian_search_signed_code_bound", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF006E" }, { "name": "gaussian_search_pair_valid", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF006F" }, { "name": "gaussian_norm_bounded_coordinates", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0070" }, { "name": "gaussian_search_no_index_below_zero", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0071" }, { "name": "gaussian_search_two_le_nonzero_not_one", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0072" }, { "name": "gaussian_search_proper_divisor_code_transport", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0073" }, { "name": "gaussian_proper_norm_divisor_decidable", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0074" }, { "name": "gaussian_factor_search_coordinate_row", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0075" }, { "name": "gaussian_factor_search_coordinate_rectangle", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0076" }, { "name": "gaussian_search_bounded_coordinates_monotone", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0077" }, { "name": "gaussian_factor_search_complete", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0078" }, { "name": "gaussian_search_nonunit_norm_two", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0079" }, { "name": "gaussian_search_norm_factors_strict", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF007A" }, { "name": "gaussian_nonunit_factor_is_proper_norm_divisor", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF007B" }, { "name": "gaussian_search_divisor_of_nonzero_nonzero", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF007C" }, { "name": "gaussian_proper_norm_divisor_split", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF007D" }, { "name": "gaussian_irreducible_or_strict_nonunit_factorization", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF007E" }, { "name": "gaussian_irreducible_decidable", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF007F" }, { "name": "gaussian_irreducible_divisor_bounded_norm", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0080" }, { "name": "gaussian_irreducible_divisor_exists", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0081" }, { "name": "gaussian_nonunit_divisor_strict_quotient", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0082" }, { "name": "gaussian_irreducible_factor_reduction", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0083" }, { "name": "gaussian_product_beta_index_transport", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0084" }, { "name": "gaussian_product_beta_value_transport", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0085" }, { "name": "gaussian_product_empty_exists", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0086" }, { "name": "gaussian_product_empty_value", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0087" }, { "name": "gaussian_product_prefix_recode", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0088" }, { "name": "gaussian_product_successor_decompose", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF0089" }, { "name": "gaussian_product_successor_intro", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF008A" }, { "name": "gaussian_product_value_transport", "recorded_authority": { "admitted_to_alpha": true, "admitted_to_stable": false, "alpha_checked_use": true, "alpha_evidence": "alpha_closed", "checked_use": true, "enrolled_in_alpha": true, "stable_member": false }, "recorded_first_version": "v30", "tag": "GF008B" }, { "name": "gaussian_product_length_transport", "recorded_authority": { "admitted_to_alpha": true, 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