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	13	⊢
2	instantiation	19, 20, 4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	8, 9, 10, 34, 11*, 12*	⊢
	: , : , :
4	instantiation	32	⊢
	: , :
5	instantiation	32	⊢
	: , :
6	instantiation	13, 14, 15	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.mult_6_3
8	theorem		⊢
	proveit.numbers.division.frac_cancel_left
9	instantiation	97, 17, 16	⊢
	: , : , :
10	instantiation	97, 17, 18	⊢
	: , : , :
11	instantiation	42, 26	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.mult_9_2
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	19, 20, 21, 22, 23, 24	⊢
	: , : , : , :
15	instantiation	25, 26, 43, 27, 28	⊢
	: , : , :
16	instantiation	97, 30, 29	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
18	instantiation	97, 30, 31	⊢
	: , : , :
19	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	instantiation	32	⊢
	: , :
22	instantiation	32	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.mult_5_3
24	instantiation	33, 43, 34, 35*	⊢
	: , :
25	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
26	instantiation	97, 91, 36	⊢
	: , : , :
27	instantiation	97, 91, 37	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_9_6
29	instantiation	97, 39, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
31	instantiation	97, 39, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
34	instantiation	97, 91, 41	⊢
	: , : , :
35	instantiation	42, 43	⊢
	:
36	instantiation	97, 93, 44	⊢
	: , : , :
37	instantiation	97, 93, 45	⊢
	: , : , :
38	instantiation	97, 46, 73	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
40	instantiation	97, 46, 47	⊢
	: , : , :
41	instantiation	97, 93, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
43	instantiation	97, 91, 49	⊢
	: , : , :
44	instantiation	97, 95, 50	⊢
	: , : , :
45	instantiation	97, 95, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
48	instantiation	97, 95, 52	⊢
	: , : , :
49	instantiation	97, 93, 53	⊢
	: , : , :
50	instantiation	97, 98, 54	⊢
	: , : , :
51	instantiation	97, 55, 56	⊢
	: , : , :
52	instantiation	97, 98, 71	⊢
	: , : , :
53	instantiation	97, 95, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
56	instantiation	58, 71, 59, 60, 61	⊢
	: , : , :
57	instantiation	97, 98, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
59	instantiation	64, 71, 63	⊢
	:
60	instantiation	64, 99, 65	⊢
	:
61	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
63	instantiation	68, 66, 67	⊢
	: , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
65	instantiation	68, 69, 70	⊢
	: , :
66	instantiation	81, 71	⊢
	:
67	instantiation	72, 73	⊢
	:
68	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
69	instantiation	81, 99	⊢
	:
70	instantiation	74, 92, 75, 76, 77, 78*, 79*	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
73	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
74	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
76	instantiation	97, 93, 80	⊢
	: , : , :
77	instantiation	81, 90	⊢
	:
78	instantiation	82, 83, 84	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_5
80	instantiation	97, 95, 85	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
82	theorem		⊢
	proveit.logic.equality.sub_right_side_into
83	instantiation	86, 88	⊢
	:
84	instantiation	87, 88, 89	⊢
	: , :
85	instantiation	97, 98, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.addition.elim_zero_right
87	theorem		⊢
	proveit.numbers.addition.commutation
88	instantiation	97, 91, 92	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
91	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
92	instantiation	97, 93, 94	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
94	instantiation	97, 95, 96	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	instantiation	97, 98, 99	⊢
	: , : , :
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
*equality replacement requirements