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*	,  ⊢
	: , :
1	theorem		⊢
	proveit.trigonometry.complex_unit_circle_chord_length
2	reference	70	⊢
3	instantiation	73, 86, 75	⊢
	: , : , :
4	instantiation	26, 7, 8	⊢
	: , : , :
5	instantiation	9, 10	⊢
	: , :
6	instantiation	26, 11, 12	,  ⊢
	: , : , :
7	instantiation	37, 13	⊢
	: , : , :
8	instantiation	14, 15	⊢
	:
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	37, 16	⊢
	: , : , :
11	instantiation	37, 17	⊢
	: , : , :
12	instantiation	26, 18, 19	,  ⊢
	: , : , :
13	instantiation	20, 33	⊢
	:
14	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
15	instantiation	126, 100, 21	⊢
	: , : , :
16	instantiation	26, 22, 23	⊢
	: , : , :
17	instantiation	26, 24, 25	⊢
	: , : , :
18	instantiation	26, 27, 28	,  ⊢
	: , : , :
19	instantiation	29, 42	,  ⊢
	:
20	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
21	instantiation	126, 107, 30	⊢
	: , : , :
22	instantiation	31, 88, 128, 125, 89, 90, 91, 92, 33, 95	⊢
	: , : , : , : , : , : , :
23	instantiation	51, 125, 32, 88, 48, 89, 33, 91, 92, 95	⊢
	: , : , : , : , : , :
24	instantiation	37, 34	⊢
	: , : , :
25	instantiation	35, 60, 36*	⊢
	:
26	axiom		⊢
	proveit.logic.equality.equals_transitivity
27	instantiation	37, 38	⊢
	: , : , :
28	instantiation	39, 40, 41, 42, 43*	,  ⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.division.frac_one_denom
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
31	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
34	instantiation	44, 45	⊢
	:
35	theorem		⊢
	proveit.numbers.absolute_value.abs_even
36	instantiation	46, 47, 48, 91, 92, 95, 49*, 50*	⊢
	: , :
37	axiom		⊢
	proveit.logic.equality.substitution
38	instantiation	51, 125, 128, 88, 52, 89, 91, 92, 53	⊢
	: , : , : , : , : , :
39	theorem		⊢
	proveit.numbers.division.frac_cancel_left
40	instantiation	126, 55, 54	⊢
	: , : , :
41	instantiation	126, 55, 56	⊢
	: , : , :
42	instantiation	126, 100, 57	,  ⊢
	: , : , :
43	instantiation	58, 91	⊢
	:
44	theorem		⊢
	proveit.numbers.addition.elim_zero_left
45	instantiation	59, 60	⊢
	:
46	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
48	instantiation	61	⊢
	: , : , :
49	instantiation	63, 62	⊢
	:
50	instantiation	63, 64	⊢
	:
51	theorem		⊢
	proveit.numbers.multiplication.association
52	instantiation	99	⊢
	: , :
53	instantiation	126, 100, 65	⊢
	: , : , :
54	instantiation	126, 67, 66	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
56	instantiation	126, 67, 68	⊢
	: , : , :
57	instantiation	69, 70, 71, 72	,  ⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
59	theorem		⊢
	proveit.numbers.negation.complex_closure
60	instantiation	73, 74, 75	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
62	instantiation	76, 128	⊢
	:
63	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
64	instantiation	77, 78	⊢
	: , :
65	instantiation	126, 79, 80	⊢
	: , : , :
66	instantiation	126, 82, 81	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
68	instantiation	126, 82, 83	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
71	instantiation	113, 103, 115, 116	⊢
	: , :
72	instantiation	84, 112, 85	,  ⊢
	:
73	theorem		⊢
	proveit.logic.equality.sub_right_side_into
74	instantiation	126, 100, 86	⊢
	: , : , :
75	instantiation	87, 88, 128, 125, 89, 90, 91, 92, 95	⊢
	: , : , : , : , : , :
76	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
77	theorem		⊢
	proveit.numbers.ordering.relax_less
78	instantiation	93, 108	⊢
	:
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
80	instantiation	94, 95	⊢
	:
81	instantiation	126, 96, 121	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
83	instantiation	126, 96, 97	⊢
	: , : , :
84	theorem		⊢
	proveit.physics.quantum.QPE._scaled_abs_delta_b_floor_diff_interval
85	assumption		⊢
86	instantiation	102, 98, 101	⊢
	: , :
87	theorem		⊢
	proveit.numbers.multiplication.disassociation
88	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
89	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
90	instantiation	99	⊢
	: , :
91	instantiation	126, 100, 115	⊢
	: , : , :
92	instantiation	126, 100, 103	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
94	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
95	instantiation	126, 100, 101	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
98	instantiation	102, 115, 103	⊢
	: , :
99	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
100	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
101	instantiation	104, 105, 110, 106	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
103	instantiation	126, 107, 108	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
105	instantiation	109, 110	⊢
	:
106	instantiation	111, 112	⊢
	:
107	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
108	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
109	theorem		⊢
	proveit.numbers.negation.real_closure
110	instantiation	113, 114, 115, 116	⊢
	: , :
111	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
112	assumption		⊢
113	theorem		⊢
	proveit.numbers.division.div_real_closure
114	instantiation	126, 118, 117	⊢
	: , : , :
115	instantiation	126, 118, 119	⊢
	: , : , :
116	instantiation	120, 121	⊢
	:
117	instantiation	126, 123, 122	⊢
	: , : , :
118	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
119	instantiation	126, 123, 124	⊢
	: , : , :
120	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
121	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
122	instantiation	126, 127, 125	⊢
	: , : , :
123	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
124	instantiation	126, 127, 128	⊢
	: , : , :
125	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
126	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
127	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
128	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements