| step type | requirements | statement |
0 | instantiation | 1, 2, 3*, 4* | ⊢ |
| : |
1 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.md_only_nine_add_one |
2 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.posnat9 |
3 | instantiation | 8, 24, 25, 26, 5, 6, 7 | ⊢ |
| : , : , : , : , : , : , : |
4 | instantiation | 8, 20, 25, 24, 9, 26, 10, 11, 12 | ⊢ |
| : , : , : , : , : , : , : |
5 | instantiation | 29 | ⊢ |
| : , : , : , : , : , : , : , : , : |
6 | instantiation | 15, 13, 17 | ⊢ |
| : , : , : |
7 | instantiation | 18 | ⊢ |
| : |
8 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.deci_sequence_reduction_ER |
9 | instantiation | 29 | ⊢ |
| : , : , : , : , : , : , : , : , : |
10 | instantiation | 15, 14, 17 | ⊢ |
| : , : , : |
11 | instantiation | 15, 16, 17 | ⊢ |
| : , : , : |
12 | instantiation | 18 | ⊢ |
| : |
13 | instantiation | 23, 25, 24, 19, 26 | ⊢ |
| : , : , : , : , : |
14 | instantiation | 23, 20, 21, 22 | ⊢ |
| : , : , : , : , : |
15 | theorem | | ⊢ |
| proveit.logic.equality.sub_left_side_into |
16 | instantiation | 23, 24, 25, 26, 27 | ⊢ |
| : , : , : , : , : |
17 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.N_leq_9_enumSet |
18 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.reduce_9_repeats |
19 | instantiation | 29 | ⊢ |
| : , : , : , : , : , : , : , : , : |
20 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.nat1 |
21 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.nat8 |
22 | instantiation | 28 | ⊢ |
| : , : , : , : , : , : , : , : |
23 | theorem | | ⊢ |
| proveit.logic.sets.enumeration.in_enumerated_set |
24 | axiom | | ⊢ |
| proveit.numbers.number_sets.natural_numbers.zero_in_nats |
25 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.nat9 |
26 | theorem | | ⊢ |
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq |
27 | instantiation | 29 | ⊢ |
| : , : , : , : , : , : , : , : , : |
28 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.tuple_len_8_typical_eq |
29 | theorem | | ⊢ |
| proveit.numbers.numerals.decimals.tuple_len_9_typical_eq |
*equality replacement requirements |