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