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