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	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
2	instantiation	4, 5, 6	,  ⊢
	: , : , :
3	instantiation	7, 8	,  ⊢
	: , :
4	theorem		⊢
	proveit.logic.equality.sub_right_side_into
5	instantiation	37, 22, 9	,  ⊢
	: , :
6	instantiation	17, 10, 11	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	12, 13	,  ⊢
	: , : , :
9	instantiation	37, 14, 44	,  ⊢
	: , :
10	instantiation	16, 73, 59, 28, 25, 30, 15, 33, 34	,  ⊢
	: , : , : , : , : , :
11	instantiation	16, 28, 59, 30, 24, 25, 42, 32, 33, 34	,  ⊢
	: , : , : , : , : , :
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	17, 18, 19	,  ⊢
	: , : , :
14	instantiation	20, 49, 21	,  ⊢
	: , :
15	instantiation	74, 54, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.disassociation
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	23, 28, 59, 30, 24, 25, 42, 32, 31, 33, 34	,  ⊢
	: , : , : , : , : , : , :
19	instantiation	26, 73, 27, 28, 29, 30, 31, 42, 32, 33, 34	,  ⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
21	instantiation	35, 36	,  ⊢
	:
22	instantiation	37, 49, 40	⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
24	instantiation	38	⊢
	: , :
25	instantiation	38	⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.association
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	39	⊢
	: , : , : , :
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
32	instantiation	74, 54, 40	⊢
	: , : , :
33	instantiation	41, 42, 43	,  ⊢
	: , :
34	instantiation	74, 54, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.nat_closure
36	instantiation	45, 61, 46	,  ⊢
	:
37	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
40	instantiation	74, 47, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
42	instantiation	74, 54, 49	⊢
	: , : , :
43	instantiation	50, 51	,  ⊢
	:
44	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
45	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
46	instantiation	52, 65, 66, 63	,  ⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
49	instantiation	74, 57, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.negation.complex_closure
51	instantiation	74, 54, 55	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
53	instantiation	74, 60, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	74, 57, 58	,  ⊢
	: , : , :
56	instantiation	74, 72, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	74, 60, 61	,  ⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	74, 62, 63	,  ⊢
	: , : , :
62	instantiation	64, 65, 66	⊢
	: , :
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
65	instantiation	67, 68, 69	⊢
	: , :
66	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
67	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
68	instantiation	70, 71	⊢
	:
69	instantiation	74, 72, 73	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	instantiation	74, 75, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
74	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
76	assumption		⊢
*equality replacement requirements