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, 56, 12, 17, 14, 18, 11, 25, 26, 20	⊢
	: , : , : , : , : , :
7	instantiation	16, 17, 41, 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, 41, 56, 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	54, 31, 28	⊢
	: , : , :
21	instantiation	54, 31, 29	⊢
	: , : , :
22	instantiation	54, 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	54, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
29	instantiation	54, 36, 33	⊢
	: , : , :
30	instantiation	54, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	54, 36, 37	⊢
	: , : , :
33	instantiation	54, 39, 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	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	54, 39, 40	⊢
	: , : , :
38	instantiation	54, 55, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	54, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	instantiation	44, 45, 46	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
45	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
46	instantiation	47, 48, 49	⊢
	: , :
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	54, 50, 51	⊢
	: , : , :
49	instantiation	52, 53	⊢
	:
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
52	theorem		⊢
	proveit.numbers.negation.int_closure
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1