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	⊢
	: , : , :
1	reference	29	⊢
2	instantiation	41, 4	⊢
	: , : , :
3	instantiation	8, 74, 55, 9, 5, 6*, 7*	⊢
	: , : , : , :
4	instantiation	8, 74, 55, 9, 10, 11, 12*, 13*	⊢
	: , : , : , :
5	instantiation	14, 67, 15, 16, 17, 57*, 18*	⊢
	: , : , :
6	instantiation	43, 44, 55, 45, 27, 47, 28	⊢
	: , : , : , : , : , : , :
7	instantiation	29, 19, 20	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
9	instantiation	22, 21, 24	⊢
	: , : , :
10	instantiation	22, 23, 24	⊢
	: , : , :
11	instantiation	33, 25	⊢
	:
12	instantiation	43, 44, 55, 26, 27, 47, 28	⊢
	: , : , : , : , : , : , :
13	instantiation	29, 30, 31	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	instantiation	72, 68, 32	⊢
	: , : , :
17	instantiation	33, 34	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
19	instantiation	41, 35	⊢
	: , : , :
20	instantiation	43, 44, 55, 36, 46, 47, 48	⊢
	: , : , : , : , : , : , :
21	instantiation	38, 74, 58, 37	⊢
	: , : , : , : , :
22	theorem		⊢
	proveit.logic.equality.sub_left_side_into
23	instantiation	38, 55, 39, 47, 40	⊢
	: , : , : , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
26	instantiation	53	⊢
	: , :
27	instantiation	54, 55	⊢
	: , :
28	instantiation	56, 57	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	41, 42	⊢
	: , : , :
31	instantiation	43, 44, 55, 45, 46, 47, 48	⊢
	: , : , : , : , : , : , :
32	instantiation	72, 70, 49	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
36	instantiation	53	⊢
	: , :
37	instantiation	50	⊢
	: , : , : , : , : , : , : , :
38	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
40	instantiation	51	⊢
	: , : , : , : , : , : , : , : , :
41	axiom		⊢
	proveit.logic.equality.substitution
42	instantiation	52, 64	⊢
	:
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
45	instantiation	53	⊢
	: , :
46	instantiation	54, 55	⊢
	: , :
47	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
48	instantiation	56, 57	⊢
	: , : , :
49	instantiation	72, 73, 58	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
52	theorem		⊢
	proveit.numbers.addition.elim_zero_left
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
55	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
56	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
57	instantiation	59, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
59	theorem		⊢
	proveit.logic.equality.sub_right_side_into
60	instantiation	62, 64	⊢
	:
61	instantiation	63, 64, 65	⊢
	: , :
62	theorem		⊢
	proveit.numbers.addition.elim_zero_right
63	theorem		⊢
	proveit.numbers.addition.commutation
64	instantiation	72, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
67	instantiation	72, 68, 69	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
69	instantiation	72, 70, 71	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	instantiation	72, 73, 74	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements