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