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	58	⊢
2	instantiation	58, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	14, 6, 7, 8	, ,  ⊢
	: , : , : , :
4	instantiation	28, 19, 107, 93, 20, 10, 26, 31, 32, 9	, ,  ⊢
	: , : , : , : , : , :
5	instantiation	28, 107, 83, 19, 10, 11, 20, 26, 31, 32, 25, 34	, ,  ⊢
	: , : , : , : , : , :
6	instantiation	12, 19, 107, 93, 20, 13, 26, 31, 32, 25, 34	, ,  ⊢
	: , : , : , : , : , : , :
7	instantiation	14, 15, 16, 17	, ,  ⊢
	: , : , : , :
8	instantiation	18, 19, 107, 93, 20, 21, 31, 32, 33, 62, 34	, ,  ⊢
	: , : , : , : , : , : , :
9	instantiation	22, 25, 34	⊢
	: , :
10	instantiation	35	⊢
	: , : , :
11	instantiation	39	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
13	instantiation	35	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
15	instantiation	23, 83, 93, 29, 24, 31, 32, 25, 26, 34	, ,  ⊢
	: , : , : , : , : , :
16	instantiation	80, 27	⊢
	: , : , :
17	instantiation	28, 83, 93, 29, 30, 31, 32, 33, 62, 34	, ,  ⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	35	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
23	theorem		⊢
	proveit.numbers.multiplication.association
24	instantiation	39	⊢
	: , :
25	instantiation	40, 91, 41, 42	⊢
	: , :
26	instantiation	40, 62, 91, 36	⊢
	: , :
27	instantiation	46, 37, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.disassociation
29	instantiation	39	⊢
	: , :
30	instantiation	39	⊢
	: , :
31	assumption		⊢
32	assumption		⊢
33	instantiation	40, 54, 41, 42	⊢
	: , :
34	instantiation	43, 44, 45	⊢
	: , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	instantiation	51, 94	⊢
	:
37	instantiation	46, 47, 48	⊢
	: , : , :
38	instantiation	80, 49	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
40	theorem		⊢
	proveit.numbers.division.div_complex_closure
41	instantiation	105, 98, 50	⊢
	: , : , :
42	instantiation	51, 95	⊢
	:
43	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
44	assumption		⊢
45	instantiation	105, 98, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	53, 54, 62, 55, 56, 57	⊢
	: , : , : , : , :
48	instantiation	58, 59, 60	⊢
	: , : , :
49	instantiation	61, 62	⊢
	:
50	instantiation	105, 101, 63	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
52	instantiation	64, 65	⊢
	:
53	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
54	instantiation	105, 98, 65	⊢
	: , : , :
55	instantiation	105, 68, 66	⊢
	: , : , :
56	instantiation	105, 68, 67	⊢
	: , : , :
57	instantiation	105, 68, 69	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.equals_transitivity
59	instantiation	80, 70	⊢
	: , : , :
60	instantiation	80, 71	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.division.frac_one_denom
62	instantiation	105, 98, 72	⊢
	: , : , :
63	instantiation	105, 103, 73	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.negation.real_closure
65	instantiation	105, 101, 74	⊢
	: , : , :
66	instantiation	105, 77, 75	⊢
	: , : , :
67	instantiation	105, 77, 76	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
69	instantiation	105, 77, 78	⊢
	: , : , :
70	instantiation	80, 79	⊢
	: , : , :
71	instantiation	80, 81	⊢
	: , : , :
72	instantiation	105, 101, 82	⊢
	: , : , :
73	instantiation	105, 106, 83	⊢
	: , : , :
74	instantiation	105, 103, 84	⊢
	: , : , :
75	instantiation	105, 87, 85	⊢
	: , : , :
76	instantiation	105, 87, 86	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
78	instantiation	105, 87, 88	⊢
	: , : , :
79	instantiation	89, 91	⊢
	:
80	axiom		⊢
	proveit.logic.equality.substitution
81	instantiation	90, 91	⊢
	:
82	instantiation	105, 103, 92	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
84	instantiation	105, 106, 93	⊢
	: , : , :
85	instantiation	105, 96, 94	⊢
	: , : , :
86	instantiation	105, 96, 95	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
88	instantiation	105, 96, 97	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
90	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
91	instantiation	105, 98, 99	⊢
	: , : , :
92	instantiation	105, 106, 100	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
95	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
98	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
99	instantiation	105, 101, 102	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
101	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
102	instantiation	105, 103, 104	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
104	instantiation	105, 106, 107	⊢
	: , : , :
105	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
106	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
107	theorem		⊢
	proveit.numbers.numerals.decimals.nat3