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	44	⊢
2	instantiation	56, 4	⊢
	: , : , :
3	instantiation	13, 76, 59, 78, 5, 60, 6, 87, 7*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_4
5	instantiation	69	⊢
	: , :
6	instantiation	95, 89, 8	⊢
	: , : , :
7	instantiation	44, 9, 10	⊢
	: , : , :
8	instantiation	95, 91, 11	⊢
	: , : , :
9	instantiation	56, 12	⊢
	: , : , :
10	instantiation	13, 76, 59, 97, 78, 14, 15, 87, 16*	⊢
	: , : , : , : , : , :
11	instantiation	95, 93, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.add_9_1
13	theorem		⊢
	proveit.numbers.addition.association
14	instantiation	69	⊢
	: , :
15	instantiation	95, 89, 18	⊢
	: , : , :
16	instantiation	44, 19, 20	⊢
	: , : , :
17	instantiation	95, 96, 77	⊢
	: , : , :
18	instantiation	95, 91, 21	⊢
	: , : , :
19	instantiation	56, 22	⊢
	: , : , :
20	instantiation	27, 97, 76, 53, 23, 24*, 25*	⊢
	: , : , : , :
21	instantiation	95, 93, 26	⊢
	: , : , :
22	instantiation	27, 97, 76, 53, 54, 28, 29*, 30*	⊢
	: , : , : , :
23	instantiation	31, 90, 32, 33, 34, 72*, 35*	⊢
	: , : , :
24	instantiation	58, 59, 76, 60, 42, 78, 43	⊢
	: , : , : , : , : , : , :
25	instantiation	44, 36, 37	⊢
	: , : , :
26	instantiation	95, 38, 39	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
28	instantiation	48, 40	⊢
	:
29	instantiation	58, 59, 76, 41, 42, 78, 43	⊢
	: , : , : , : , : , : , :
30	instantiation	44, 45, 46	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
33	instantiation	95, 91, 47	⊢
	: , : , :
34	instantiation	48, 49	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_8_1
36	instantiation	56, 50	⊢
	: , : , :
37	instantiation	58, 59, 76, 51, 61, 78, 62	⊢
	: , : , : , : , : , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
39	instantiation	52, 97, 53, 54, 55	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
41	instantiation	69	⊢
	: , :
42	instantiation	70, 76	⊢
	: , :
43	instantiation	71, 72	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.equals_transitivity
45	instantiation	56, 57	⊢
	: , : , :
46	instantiation	58, 59, 76, 60, 61, 78, 62	⊢
	: , : , : , : , : , : , :
47	instantiation	95, 93, 63	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
50	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
51	instantiation	69	⊢
	: , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
53	instantiation	65, 64, 67	⊢
	: , : , :
54	instantiation	65, 66, 67	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
56	axiom		⊢
	proveit.logic.equality.substitution
57	instantiation	68, 87	⊢
	:
58	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
60	instantiation	69	⊢
	: , :
61	instantiation	70, 76	⊢
	: , :
62	instantiation	71, 72	⊢
	: , : , :
63	instantiation	95, 96, 73	⊢
	: , : , :
64	instantiation	75, 97, 73, 74	⊢
	: , : , : , : , :
65	theorem		⊢
	proveit.logic.equality.sub_left_side_into
66	instantiation	75, 76, 77, 78, 79	⊢
	: , : , : , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
68	theorem		⊢
	proveit.numbers.addition.elim_zero_left
69	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
70	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
71	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
72	instantiation	80, 81, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
74	instantiation	83	⊢
	: , : , : , : , : , : , : , :
75	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
76	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
78	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
79	instantiation	84	⊢
	: , : , : , : , : , : , : , : , :
80	theorem		⊢
	proveit.logic.equality.sub_right_side_into
81	instantiation	85, 87	⊢
	:
82	instantiation	86, 87, 88	⊢
	: , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
84	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
85	theorem		⊢
	proveit.numbers.addition.elim_zero_right
86	theorem		⊢
	proveit.numbers.addition.commutation
87	instantiation	95, 89, 90	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
89	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
90	instantiation	95, 91, 92	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	95, 93, 94	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
94	instantiation	95, 96, 97	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements