Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7*, 8*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
2	reference	57	⊢
3	reference	39	⊢
4	instantiation	10, 9, 12	⊢
	: , : , :
5	instantiation	10, 11, 12	⊢
	: , : , :
6	instantiation	13, 14	⊢
	:
7	instantiation	28, 29, 39, 15, 16, 32, 17	⊢
	: , : , : , : , : , : , :
8	instantiation	18, 19, 20	⊢
	: , : , :
9	instantiation	23, 57, 21, 22	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.logic.equality.sub_left_side_into
11	instantiation	23, 39, 24, 32, 25	⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
15	instantiation	37	⊢
	: , :
16	instantiation	38, 39	⊢
	: , :
17	instantiation	40, 41	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	26, 27	⊢
	: , : , :
20	instantiation	28, 29, 39, 30, 31, 32, 33	⊢
	: , : , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
22	instantiation	34	⊢
	: , : , : , : , : , : , : , :
23	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
25	instantiation	35	⊢
	: , : , : , : , : , : , : , : , :
26	axiom		⊢
	proveit.logic.equality.substitution
27	instantiation	36, 47	⊢
	:
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	instantiation	37	⊢
	: , :
31	instantiation	38, 39	⊢
	: , :
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	instantiation	40, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
36	theorem		⊢
	proveit.numbers.addition.elim_zero_left
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
39	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
40	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.equality.sub_right_side_into
43	instantiation	45, 47	⊢
	:
44	instantiation	46, 47, 48	⊢
	: , :
45	theorem		⊢
	proveit.numbers.addition.elim_zero_right
46	theorem		⊢
	proveit.numbers.addition.commutation
47	instantiation	55, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	55, 51, 52	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	55, 53, 54	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	55, 56, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements