{
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  },
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      "name": "beta_sum_entry_le",
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    {
      "name": "beta_cutoff_count_comparison",
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      "recorded_first_version": "v27",
      "tag": "PC0014"
    },
    {
      "name": "binary_power_two_dominates_successor",
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        "alpha_checked_use": true,
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      "tag": "PC0015"
    },
    {
      "name": "binary_power_two_order_reflects_exponent",
      "recorded_authority": {
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        "alpha_checked_use": true,
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      "recorded_first_version": "v27",
      "tag": "PC0016"
    },
    {
      "name": "binary_power_two_strict_order_reflects_exponent",
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        "admitted_to_stable": false,
        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC0017"
    },
    {
      "name": "pow_four_is_square_of_pow_two",
      "recorded_authority": {
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        "admitted_to_stable": false,
        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0018"
    },
    {
      "name": "central_binom_dominates_pow_two",
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        "admitted_to_stable": false,
        "alpha_checked_use": true,
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        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0019"
    },
    {
      "name": "primorial_prefix_decoded_choice",
      "recorded_authority": {
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        "admitted_to_stable": false,
        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
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      "tag": "PC001A"
    },
    {
      "name": "primorial_factor_choice_one_le",
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        "admitted_to_stable": false,
        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
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      "tag": "PC001B"
    },
    {
      "name": "prime_contribution_prefix_decoded_choice",
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
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      },
      "recorded_first_version": "v27",
      "tag": "PC001C"
    },
    {
      "name": "central_binom_prime_mask_weighted_upper",
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        "admitted_to_stable": false,
        "alpha_checked_use": true,
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        "stable_member": false
      },
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      "tag": "PC001D"
    },
    {
      "name": "primorial_cutoff_weighted_lower",
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        "alpha_checked_use": true,
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      },
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      "tag": "PC001E"
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    {
      "name": "central_binom_prime_count_power_bound",
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
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      "recorded_first_version": "v27",
      "tag": "PC001F"
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    {
      "name": "primorial_cutoff_count_power_bound",
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        "alpha_checked_use": true,
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        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC0020"
    },
    {
      "name": "binary_split_half_lower_bound",
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC0021"
    },
    {
      "name": "binary_split_successor_le_double_successor",
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
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      "tag": "PC0022"
    },
    {
      "name": "double_successor_le_triple_above_one",
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      "recorded_first_version": "v27",
      "tag": "PC0023"
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    {
      "name": "binary_length_positive",
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        "alpha_checked_use": true,
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      "recorded_first_version": "v27",
      "tag": "PC0024"
    },
    {
      "name": "binary_length_nonzero_components",
      "recorded_authority": {
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        "alpha_checked_use": true,
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      "recorded_first_version": "v27",
      "tag": "PC0025"
    },
    {
      "name": "binary_half_scale_bounds",
      "recorded_authority": {
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      "recorded_first_version": "v27",
      "tag": "PC0026"
    },
    {
      "name": "pow_four_equals_binary_double",
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      "recorded_first_version": "v27",
      "tag": "PC0027"
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    {
      "name": "prime_cutoff_exponent_bound",
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        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC0028"
    },
    {
      "name": "chebyshev_upper_arithmetic",
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        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC0029"
    },
    {
      "name": "prime_count_chebyshev_upper",
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC002A"
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    {
      "name": "binary_split_upper_bound",
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        "alpha_checked_use": true,
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        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC002B"
    },
    {
      "name": "double_successor_le_triple_of_positive",
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC002C"
    },
    {
      "name": "binary_split_eight_bound",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC002D"
    },
    {
      "name": "central_binom_prime_count_exponent_bound",
      "recorded_authority": {
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        "alpha_checked_use": true,
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        "enrolled_in_alpha": true,
        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC002E"
    },
    {
      "name": "prime_count_chebyshev_lower_large",
      "recorded_authority": {
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        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC002F"
    },
    {
      "name": "prime_count_chebyshev_lower",
      "recorded_authority": {
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        "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": "v27",
      "tag": "PC0030"
    },
    {
      "name": "prime_count_chebyshev_bounds",
      "recorded_authority": {
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        "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": "v27",
      "tag": "PC0031"
    },
    {
      "name": "prime_bit_choice_functional",
      "recorded_authority": {
        "admitted_to_alpha": true,
        "admitted_to_stable": false,
        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0032"
    },
    {
      "name": "prime_bit_prefix_equal_entry",
      "recorded_authority": {
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        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0033"
    },
    {
      "name": "prime_count_functional",
      "recorded_authority": {
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        "alpha_checked_use": true,
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        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0034"
    },
    {
      "name": "prime_count_zero",
      "recorded_authority": {
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        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0035"
    },
    {
      "name": "prime_count_one",
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        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "stable_member": false
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      "recorded_first_version": "v27",
      "tag": "PC0036"
    },
    {
      "name": "prime_count_exists_unique",
      "recorded_authority": {
        "admitted_to_alpha": true,
        "admitted_to_stable": false,
        "alpha_checked_use": true,
        "alpha_evidence": "alpha_closed",
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        "enrolled_in_alpha": true,
        "stable_member": false
      },
      "recorded_first_version": "v27",
      "tag": "PC0037"
    }
  ],
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