| | step type | requirements | statement |
| 0 | instantiation | 1, 2, 3 | , , , , , ⊢  |
| | : , : , :  |
| 1 | reference | 4 | ⊢  |
| 2 | instantiation | 4, 5, 6 | , , , , , ⊢  |
| | : , : , :  |
| 3 | instantiation | 7, 21, 8, 12, 9, 14, 17, 24, 18, 25, 26, 10* | , , , , , ⊢  |
| | : , : , : , : , : , :  |
| 4 | axiom | | ⊢  |
| | proveit.logic.equality.equals_transitivity |
| 5 | instantiation | 15, 21, 11, 12, 13, 14, 17, 25, 18, 26, 24 | , , , , , ⊢  |
| | : , : , : , : , : , : , :  |
| 6 | instantiation | 15, 22, 21, 16, 17, 24, 25, 18, 26 | , , , , , ⊢  |
| | : , : , : , : , : , : , :  |
| 7 | theorem | | ⊢  |
| | proveit.numbers.multiplication.association |
| 8 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.nat4 |
| 9 | instantiation | 19 | ⊢  |
| | : , : , : , :  |
| 10 | instantiation | 20, 21, 22, 23, 24, 30, 37, 25, 26 | , , , , ⊢  |
| | : , : , : , : , : , :  |
| 11 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.nat3 |
| 12 | axiom | | ⊢  |
| | proveit.numbers.number_sets.natural_numbers.zero_in_nats |
| 13 | instantiation | 27 | ⊢  |
| | : , : , :  |
| 14 | theorem | | ⊢  |
| | proveit.core_expr_types.tuples.tuple_len_0_typical_eq |
| 15 | theorem | | ⊢  |
| | proveit.numbers.multiplication.leftward_commutation |
| 16 | instantiation | 32 | ⊢  |
| | : , :  |
| 17 | instantiation | 41, 33, 28 | ⊢  |
| | : , : , :  |
| 18 | instantiation | 29, 30, 31 | , ⊢  |
| | : , :  |
| 19 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.tuple_len_4_typical_eq |
| 20 | theorem | | ⊢  |
| | proveit.numbers.multiplication.distribute_through_subtract |
| 21 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.nat1 |
| 22 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.nat2 |
| 23 | instantiation | 32 | ⊢  |
| | : , :  |
| 24 | assumption | | ⊢  |
| 25 | instantiation | 41, 33, 34 | ⊢  |
| | : , : , :  |
| 26 | assumption | | ⊢  |
| 27 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.tuple_len_3_typical_eq |
| 28 | instantiation | 41, 38, 35 | ⊢  |
| | : , : , :  |
| 29 | theorem | | ⊢  |
| | proveit.numbers.addition.add_complex_closure_bin |
| 30 | assumption | | ⊢  |
| 31 | instantiation | 36, 37 | ⊢  |
| | :  |
| 32 | theorem | | ⊢  |
| | proveit.numbers.numerals.decimals.tuple_len_2_typical_eq |
| 33 | theorem | | ⊢  |
| | proveit.numbers.number_sets.complex_numbers.real_within_complex |
| 34 | instantiation | 41, 38, 39 | ⊢  |
| | : , : , :  |
| 35 | instantiation | 41, 42, 40 | ⊢  |
| | : , : , :  |
| 36 | theorem | | ⊢  |
| | proveit.numbers.negation.complex_closure |
| 37 | assumption | | ⊢  |
| 38 | theorem | | ⊢  |
| | proveit.numbers.number_sets.real_numbers.rational_within_real |
| 39 | instantiation | 41, 42, 43 | ⊢  |
| | : , : , :  |
| 40 | assumption | | ⊢  |
| 41 | theorem | | ⊢  |
| | proveit.logic.sets.inclusion.superset_membership_from_proper_subset |
| 42 | theorem | | ⊢  |
| | proveit.numbers.number_sets.rational_numbers.int_within_rational |
| 43 | assumption | | ⊢  |
| *equality replacement requirements |