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	4, 5, 12	⊢
	: , :
3	instantiation	6, 7, 32, 69, 8, 9, 10, 11, 12	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
5	instantiation	70, 38, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.disassociation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14	⊢
	: , :
10	instantiation	70, 38, 16	⊢
	: , : , :
11	instantiation	70, 38, 17	⊢
	: , : , :
12	instantiation	70, 38, 15	⊢
	: , : , :
13	instantiation	40, 16, 17	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	70, 18, 19	⊢
	: , : , :
16	instantiation	70, 44, 20	⊢
	: , : , :
17	instantiation	21, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
19	instantiation	24, 25	⊢
	:
20	instantiation	70, 46, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
22	instantiation	27, 28	⊢
	: , :
23	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
24	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
25	instantiation	29, 30, 31	⊢
	: , :
26	instantiation	70, 68, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
30	instantiation	70, 38, 33	⊢
	: , : , :
31	instantiation	34, 35	⊢
	:
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	instantiation	36, 37	⊢
	:
34	theorem		⊢
	proveit.numbers.negation.complex_closure
35	instantiation	70, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
37	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	40, 41, 42	⊢
	: , :
40	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
41	instantiation	70, 44, 43	⊢
	: , : , :
42	instantiation	70, 44, 45	⊢
	: , : , :
43	instantiation	70, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	70, 48, 49	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	70, 50, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
49	instantiation	52, 53, 54	⊢
	: , :
50	instantiation	55, 56, 67	⊢
	: , :
51	assumption		⊢
52	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
53	instantiation	70, 57, 58	⊢
	: , : , :
54	instantiation	66, 59	⊢
	:
55	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
56	instantiation	60, 61, 62	⊢
	: , :
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
58	instantiation	70, 63, 64	⊢
	: , : , :
59	instantiation	70, 71, 65	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
61	instantiation	66, 67	⊢
	:
62	instantiation	70, 68, 69	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
65	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
66	theorem		⊢
	proveit.numbers.negation.int_closure
67	instantiation	70, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
72	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos