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	77	⊢
2	instantiation	77, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	77, 6, 7	, ,  ⊢
	: , : , :
4	instantiation	77, 8, 9	, ,  ⊢
	: , : , :
5	instantiation	21, 10, 11, 12	, ,  ⊢
	: , : , : , :
6	instantiation	25, 113, 112, 38, 81, 40, 41, 42, 43	, ,  ⊢
	: , : , : , : , : , : , :
7	instantiation	32, 26, 112, 127, 27, 13, 14, 81, 42, 40, 41, 43, 15*	, ,  ⊢
	: , : , : , : , : , :
8	instantiation	37, 26, 127, 113, 27, 17, 35, 40, 41, 16	, ,  ⊢
	: , : , : , : , : , :
9	instantiation	37, 127, 112, 26, 17, 18, 27, 35, 40, 41, 34, 43	, ,  ⊢
	: , : , : , : , : , :
10	instantiation	19, 26, 127, 113, 27, 20, 35, 40, 41, 34, 43	, ,  ⊢
	: , : , : , : , : , : , :
11	instantiation	21, 22, 23, 24	, ,  ⊢
	: , : , : , :
12	instantiation	25, 26, 127, 113, 27, 28, 40, 41, 42, 81, 43	, ,  ⊢
	: , : , : , : , : , : , :
13	instantiation	70	⊢
	: , :
14	instantiation	44	⊢
	: , : , :
15	instantiation	29, 81, 73, 76, 75, 67*, 30*	⊢
	: , : , : , :
16	instantiation	31, 34, 43	⊢
	: , :
17	instantiation	44	⊢
	: , : , :
18	instantiation	70	⊢
	: , :
19	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
20	instantiation	44	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
22	instantiation	32, 112, 113, 38, 33, 40, 41, 34, 35, 43	, ,  ⊢
	: , : , : , : , : , :
23	instantiation	99, 36	⊢
	: , : , :
24	instantiation	37, 112, 113, 38, 39, 40, 41, 42, 81, 43	, ,  ⊢
	: , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	44	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.division.prod_of_fracs
30	instantiation	77, 45, 46	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	theorem		⊢
	proveit.numbers.multiplication.association
33	instantiation	70	⊢
	: , :
34	instantiation	50, 110, 71, 51	⊢
	: , :
35	instantiation	50, 81, 110, 47	⊢
	: , :
36	instantiation	64, 48, 49	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.disassociation
38	instantiation	70	⊢
	: , :
39	instantiation	70	⊢
	: , :
40	assumption		⊢
41	assumption		⊢
42	instantiation	50, 73, 71, 51	⊢
	: , :
43	instantiation	52, 53, 54	⊢
	: , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
45	instantiation	55, 112, 56, 57, 58, 59	⊢
	: , : , : , :
46	instantiation	60, 75, 76, 71, 61*, 62*, 63*	⊢
	: , : , :
47	instantiation	68, 114	⊢
	:
48	instantiation	64, 65, 66	⊢
	: , : , :
49	instantiation	99, 67	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.division.div_complex_closure
51	instantiation	68, 115	⊢
	:
52	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
53	assumption		⊢
54	instantiation	125, 118, 69	⊢
	: , : , :
55	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
56	instantiation	70	⊢
	: , :
57	instantiation	70	⊢
	: , :
58	instantiation	109, 81	⊢
	:
59	instantiation	108, 71	⊢
	:
60	theorem		⊢
	proveit.numbers.division.frac_cancel_left
61	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
62	instantiation	109, 71	⊢
	:
63	instantiation	80, 71	⊢
	:
64	theorem		⊢
	proveit.logic.equality.sub_right_side_into
65	instantiation	72, 73, 81, 74, 75, 76	⊢
	: , : , : , : , :
66	instantiation	77, 78, 79	⊢
	: , : , :
67	instantiation	80, 81	⊢
	:
68	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
69	instantiation	82, 84	⊢
	:
70	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
71	instantiation	125, 118, 83	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
73	instantiation	125, 118, 84	⊢
	: , : , :
74	instantiation	125, 87, 85	⊢
	: , : , :
75	instantiation	125, 87, 86	⊢
	: , : , :
76	instantiation	125, 87, 88	⊢
	: , : , :
77	axiom		⊢
	proveit.logic.equality.equals_transitivity
78	instantiation	99, 89	⊢
	: , : , :
79	instantiation	99, 90	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.division.frac_one_denom
81	instantiation	125, 118, 91	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.negation.real_closure
83	instantiation	125, 121, 92	⊢
	: , : , :
84	instantiation	125, 121, 93	⊢
	: , : , :
85	instantiation	125, 96, 94	⊢
	: , : , :
86	instantiation	125, 96, 95	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
88	instantiation	125, 96, 97	⊢
	: , : , :
89	instantiation	99, 98	⊢
	: , : , :
90	instantiation	99, 100	⊢
	: , : , :
91	instantiation	125, 121, 101	⊢
	: , : , :
92	instantiation	125, 123, 102	⊢
	: , : , :
93	instantiation	125, 123, 103	⊢
	: , : , :
94	instantiation	125, 106, 104	⊢
	: , : , :
95	instantiation	125, 106, 105	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
97	instantiation	125, 106, 107	⊢
	: , : , :
98	instantiation	108, 110	⊢
	:
99	axiom		⊢
	proveit.logic.equality.substitution
100	instantiation	109, 110	⊢
	:
101	instantiation	125, 123, 111	⊢
	: , : , :
102	instantiation	125, 126, 112	⊢
	: , : , :
103	instantiation	125, 126, 113	⊢
	: , : , :
104	instantiation	125, 116, 114	⊢
	: , : , :
105	instantiation	125, 116, 115	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
107	instantiation	125, 116, 117	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
109	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
110	instantiation	125, 118, 119	⊢
	: , : , :
111	instantiation	125, 126, 120	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
113	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
114	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
115	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
116	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
117	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
118	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
119	instantiation	125, 121, 122	⊢
	: , : , :
120	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
121	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
122	instantiation	125, 123, 124	⊢
	: , : , :
123	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
124	instantiation	125, 126, 127	⊢
	: , : , :
125	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
126	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
127	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements