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, 9*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	68	⊢
3	reference	51	⊢
4	reference	89	⊢
5	reference	70	⊢
6	instantiation	61	⊢
	: , :
7	instantiation	87, 81, 10	⊢
	: , : , :
8	reference	79	⊢
9	instantiation	36, 11, 12	⊢
	: , : , :
10	instantiation	87, 83, 13	⊢
	: , : , :
11	instantiation	48, 14	⊢
	: , : , :
12	instantiation	19, 89, 68, 45, 15, 16*, 17*	⊢
	: , : , : , :
13	instantiation	87, 85, 18	⊢
	: , : , :
14	instantiation	19, 89, 68, 45, 46, 20, 21*, 22*	⊢
	: , : , : , :
15	instantiation	23, 82, 24, 25, 26, 64*, 27*	⊢
	: , : , :
16	instantiation	50, 51, 68, 52, 34, 70, 35	⊢
	: , : , : , : , : , : , :
17	instantiation	36, 28, 29	⊢
	: , : , :
18	instantiation	87, 30, 31	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
20	instantiation	40, 32	⊢
	:
21	instantiation	50, 51, 68, 33, 34, 70, 35	⊢
	: , : , : , : , : , : , :
22	instantiation	36, 37, 38	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
25	instantiation	87, 83, 39	⊢
	: , : , :
26	instantiation	40, 41	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
28	instantiation	48, 42	⊢
	: , : , :
29	instantiation	50, 51, 68, 43, 53, 70, 54	⊢
	: , : , : , : , : , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
31	instantiation	44, 89, 45, 46, 47	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
33	instantiation	61	⊢
	: , :
34	instantiation	62, 68	⊢
	: , :
35	instantiation	63, 64	⊢
	: , : , :
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	48, 49	⊢
	: , : , :
38	instantiation	50, 51, 68, 52, 53, 70, 54	⊢
	: , : , : , : , : , : , :
39	instantiation	87, 85, 55	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
43	instantiation	61	⊢
	: , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
45	instantiation	57, 56, 59	⊢
	: , : , :
46	instantiation	57, 58, 59	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
48	axiom		⊢
	proveit.logic.equality.substitution
49	instantiation	60, 79	⊢
	:
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	instantiation	61	⊢
	: , :
53	instantiation	62, 68	⊢
	: , :
54	instantiation	63, 64	⊢
	: , : , :
55	instantiation	87, 88, 65	⊢
	: , : , :
56	instantiation	67, 89, 65, 66	⊢
	: , : , : , : , :
57	theorem		⊢
	proveit.logic.equality.sub_left_side_into
58	instantiation	67, 68, 69, 70, 71	⊢
	: , : , : , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
60	theorem		⊢
	proveit.numbers.addition.elim_zero_left
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
62	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
63	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
64	instantiation	72, 73, 74	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
66	instantiation	75	⊢
	: , : , : , : , : , : , : , :
67	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
68	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
70	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
71	instantiation	76	⊢
	: , : , : , : , : , : , : , : , :
72	theorem		⊢
	proveit.logic.equality.sub_right_side_into
73	instantiation	77, 79	⊢
	:
74	instantiation	78, 79, 80	⊢
	: , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
76	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
77	theorem		⊢
	proveit.numbers.addition.elim_zero_right
78	theorem		⊢
	proveit.numbers.addition.commutation
79	instantiation	87, 81, 82	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
82	instantiation	87, 83, 84	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
84	instantiation	87, 85, 86	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	87, 88, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements