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