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