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