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*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
2	reference	58	⊢
3	reference	39	⊢
4	instantiation	8, 9, 10	⊢
	: , : , :
5	instantiation	11, 51, 12, 13, 14, 41*, 15*	⊢
	: , : , :
6	instantiation	29, 30, 39, 16, 17, 33, 18	⊢
	: , : , : , : , : , : , :
7	instantiation	19, 20, 21	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.sub_left_side_into
9	instantiation	22, 58, 42, 23	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
11	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
13	instantiation	56, 52, 24	⊢
	: , : , :
14	instantiation	25, 26	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
16	instantiation	37	⊢
	: , :
17	instantiation	38, 39	⊢
	: , :
18	instantiation	40, 41	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	27, 28	⊢
	: , : , :
21	instantiation	29, 30, 39, 31, 32, 33, 34	⊢
	: , : , : , : , : , : , :
22	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
23	instantiation	35	⊢
	: , : , : , : , : , : , : , :
24	instantiation	56, 54, 36	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
27	axiom		⊢
	proveit.logic.equality.substitution
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	instantiation	37	⊢
	: , :
32	instantiation	38, 39	⊢
	: , :
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	40, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
36	instantiation	56, 57, 42	⊢
	: , : , :
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	43, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
43	theorem		⊢
	proveit.logic.equality.sub_right_side_into
44	instantiation	46, 48	⊢
	:
45	instantiation	47, 48, 49	⊢
	: , :
46	theorem		⊢
	proveit.numbers.addition.elim_zero_right
47	theorem		⊢
	proveit.numbers.addition.commutation
48	instantiation	56, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	56, 52, 53	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	56, 54, 55	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements