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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5, 6	⊢
	: , :
3	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
4	instantiation	23, 7, 8	⊢
	: , : , :
5	instantiation	23, 9, 10	⊢
	: , : , :
6	instantiation	11, 27, 73, 34, 12, 35, 37, 38, 42, 40, 43	⊢
	: , : , : , : , : , : , :
7	instantiation	41, 26, 13	⊢
	: , :
8	instantiation	17, 14, 15	⊢
	: , : , :
9	instantiation	41, 26, 16	⊢
	: , :
10	instantiation	17, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
12	instantiation	39	⊢
	: , : , :
13	instantiation	23, 20, 21	⊢
	: , : , :
14	instantiation	33, 73, 27, 34, 22, 35, 26, 42, 40, 43	⊢
	: , : , : , : , : , :
15	instantiation	33, 34, 58, 27, 35, 28, 22, 37, 38, 42, 40, 43	⊢
	: , : , : , : , : , :
16	instantiation	23, 24, 25	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	33, 73, 27, 34, 29, 35, 26, 42, 43, 40	⊢
	: , : , : , : , : , :
19	instantiation	33, 34, 58, 27, 35, 28, 29, 37, 38, 42, 43, 40	⊢
	: , : , : , : , : , :
20	instantiation	41, 30, 43	⊢
	: , :
21	instantiation	33, 34, 58, 73, 35, 31, 42, 40, 43	⊢
	: , : , : , : , : , :
22	instantiation	39	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.equality.sub_right_side_into
24	instantiation	41, 32, 40	⊢
	: , :
25	instantiation	33, 34, 58, 73, 35, 36, 42, 43, 40	⊢
	: , : , : , : , : , :
26	instantiation	41, 37, 38	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	instantiation	44	⊢
	: , :
29	instantiation	39	⊢
	: , : , :
30	instantiation	41, 42, 40	⊢
	: , :
31	instantiation	44	⊢
	: , :
32	instantiation	41, 42, 43	⊢
	: , :
33	theorem		⊢
	proveit.numbers.multiplication.disassociation
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	44	⊢
	: , :
37	instantiation	71, 48, 45	⊢
	: , : , :
38	instantiation	71, 48, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
40	instantiation	71, 48, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
43	instantiation	71, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	instantiation	71, 53, 50	⊢
	: , : , :
46	instantiation	71, 51, 52	⊢
	: , : , :
47	instantiation	71, 53, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
50	instantiation	71, 56, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	71, 56, 57	⊢
	: , : , :
55	instantiation	71, 72, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	71, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
59	instantiation	61, 62, 63	⊢
	: , :
60	assumption		⊢
61	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
62	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
63	instantiation	64, 65, 66	⊢
	: , :
64	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
65	instantiation	71, 67, 68	⊢
	: , : , :
66	instantiation	69, 70	⊢
	:
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
68	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	71, 72, 73	⊢
	: , : , :
71	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat1