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	8	⊢
2	instantiation	23, 11, 4	,  ⊢
	: , :
3	instantiation	5, 6, 7	,  ⊢
	: , : , :
4	instantiation	8, 9, 10	,  ⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	16, 57, 12, 17, 14, 18, 11, 24, 25, 20	,  ⊢
	: , : , : , : , : , :
7	instantiation	16, 17, 43, 12, 18, 13, 14, 30, 21, 24, 25, 20	,  ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	23, 15, 20	,  ⊢
	: , :
10	instantiation	16, 17, 43, 57, 18, 19, 24, 25, 20	,  ⊢
	: , : , : , : , : , :
11	instantiation	23, 30, 21	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	26	⊢
	: , :
14	instantiation	22	⊢
	: , : , :
15	instantiation	23, 24, 25	,  ⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.disassociation
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	26	⊢
	: , :
20	instantiation	58, 38, 27	⊢
	: , : , :
21	instantiation	58, 38, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
23	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
25	instantiation	29, 30, 31	,  ⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
28	instantiation	58, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
30	instantiation	58, 38, 34	⊢
	: , : , :
31	instantiation	35, 36	,  ⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
34	instantiation	58, 41, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.complex_closure
36	instantiation	58, 38, 39	,  ⊢
	: , : , :
37	instantiation	58, 44, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	58, 41, 42	,  ⊢
	: , : , :
40	instantiation	58, 56, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
42	instantiation	58, 44, 45	,  ⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	58, 46, 47	,  ⊢
	: , : , :
46	instantiation	48, 49, 50	⊢
	: , :
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
49	instantiation	51, 52, 53	⊢
	: , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	54, 55	⊢
	:
53	instantiation	58, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	58, 59, 60	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
60	assumption		⊢