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	24, 11, 4	,  ⊢
	: , :
3	instantiation	5, 6, 7	,  ⊢
	: , : , :
4	instantiation	8, 9, 10	,  ⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	17, 59, 12, 18, 14, 19, 11, 25, 26, 21	,  ⊢
	: , : , : , : , : , :
7	instantiation	17, 18, 45, 12, 19, 13, 14, 32, 15, 25, 26, 21	,  ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	24, 16, 21	,  ⊢
	: , :
10	instantiation	17, 18, 45, 59, 19, 20, 25, 26, 21	,  ⊢
	: , : , : , : , : , :
11	instantiation	60, 40, 22	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	27	⊢
	: , :
14	instantiation	23	⊢
	: , : , :
15	instantiation	60, 40, 30	⊢
	: , : , :
16	instantiation	24, 25, 26	,  ⊢
	: , :
17	theorem		⊢
	proveit.numbers.multiplication.disassociation
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	27	⊢
	: , :
21	instantiation	60, 40, 28	⊢
	: , : , :
22	instantiation	29, 36, 30	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
26	instantiation	31, 32, 33	,  ⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
29	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
30	instantiation	60, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
32	instantiation	60, 40, 36	⊢
	: , : , :
33	instantiation	37, 38	,  ⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
36	instantiation	60, 43, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.negation.complex_closure
38	instantiation	60, 40, 41	,  ⊢
	: , : , :
39	instantiation	60, 46, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	60, 43, 44	,  ⊢
	: , : , :
42	instantiation	60, 58, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	60, 46, 47	,  ⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	60, 48, 49	,  ⊢
	: , : , :
48	instantiation	50, 51, 52	⊢
	: , :
49	assumption		⊢
50	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
51	instantiation	53, 54, 55	⊢
	: , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
53	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
54	instantiation	56, 57	⊢
	:
55	instantiation	60, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.negation.int_closure
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
62	assumption		⊢