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	⊢
	: , : , : , :
1	reference	8	⊢
2	instantiation	17, 31, 5, 6*	⊢
	: , : , :
3	instantiation	20	⊢
	:
4	instantiation	21, 7	⊢
	: , :
5	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
6	instantiation	12, 77, 59, 42, 43, 13, 14*, 15*	⊢
	: , : , : , :
7	instantiation	30, 16	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	17, 60, 18, 19*	⊢
	: , : , :
10	instantiation	20	⊢
	:
11	instantiation	21, 22	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.md_nine_add_one
13	instantiation	23, 24	⊢
	:
14	instantiation	34, 35, 59, 41, 25, 61, 26	⊢
	: , : , : , : , : , : , :
15	instantiation	27, 28, 29	⊢
	: , : , :
16	instantiation	39, 40, 36, 42	⊢
	: , :
17	axiom		⊢
	proveit.core_expr_types.tuples.tuple_len_incr
18	instantiation	68	⊢
	: , : , : , : , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_9_1
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	theorem		⊢
	proveit.logic.equality.equals_reversal
22	instantiation	30, 31	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
25	instantiation	45, 59	⊢
	: , :
26	instantiation	46, 47	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	32, 33	⊢
	: , : , :
29	instantiation	34, 35, 59, 36, 37, 61, 38	⊢
	: , : , : , : , : , : , :
30	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
31	instantiation	39, 40, 41, 42, 43	⊢
	: , :
32	axiom		⊢
	proveit.logic.equality.substitution
33	instantiation	44, 65	⊢
	:
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	instantiation	48	⊢
	: , :
37	instantiation	45, 59	⊢
	: , :
38	instantiation	46, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
41	instantiation	48	⊢
	: , :
42	instantiation	50, 49, 52	⊢
	: , : , :
43	instantiation	50, 51, 52	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.elim_zero_left
45	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
46	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
47	instantiation	53, 54, 55	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	instantiation	58, 77, 56, 57	⊢
	: , : , : , : , :
50	theorem		⊢
	proveit.logic.equality.sub_left_side_into
51	instantiation	58, 59, 60, 61, 62	⊢
	: , : , : , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
53	theorem		⊢
	proveit.logic.equality.sub_right_side_into
54	instantiation	63, 65	⊢
	:
55	instantiation	64, 65, 66	⊢
	: , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
57	instantiation	67	⊢
	: , : , : , : , : , : , : , :
58	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
59	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
61	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
62	instantiation	68	⊢
	: , : , : , : , : , : , : , : , :
63	theorem		⊢
	proveit.numbers.addition.elim_zero_right
64	theorem		⊢
	proveit.numbers.addition.commutation
65	instantiation	75, 69, 70	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
67	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
68	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
70	instantiation	75, 71, 72	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	75, 73, 74	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	instantiation	75, 76, 77	⊢
	: , : , :
75	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
76	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements