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