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	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_real_closure
2	instantiation	81, 26, 5	⊢
	: , : , :
3	instantiation	6, 17, 83	,  ⊢
	: , :
4	instantiation	7, 8	,  ⊢
	:
5	instantiation	81, 33, 70	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
8	instantiation	9, 10, 11	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
10	instantiation	12, 13, 14	,  ⊢
	:
11	instantiation	81, 16, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
13	instantiation	81, 16, 17	,  ⊢
	: , : , :
14	instantiation	18, 19	,  ⊢
	: , :
15	instantiation	81, 26, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	21, 22, 23	,  ⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
19	instantiation	24, 25	,  ⊢
	: , :
20	instantiation	81, 33, 80	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	instantiation	81, 26, 27	,  ⊢
	: , : , :
23	instantiation	28, 29	⊢
	:
24	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
25	instantiation	30, 31, 47, 32	,  ⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	81, 33, 47	,  ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.real_closure
29	instantiation	34, 35, 36	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
31	instantiation	37, 38, 73, 39	⊢
	: , : , : , : , :
32	instantiation	40, 41	,  ⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
35	instantiation	42, 43, 44	⊢
	: , : , :
36	instantiation	45, 46	⊢
	:
37	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
41	instantiation	61, 47, 48	,  ⊢
	:
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	49, 50	⊢
	: , :
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
45	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
46	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
47	instantiation	81, 51, 57	,  ⊢
	: , : , :
48	instantiation	65, 52, 53	,  ⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
51	instantiation	68, 56, 75	⊢
	: , :
52	instantiation	54, 55	⊢
	:
53	instantiation	69, 56, 75, 57	,  ⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
55	instantiation	58, 59, 60	⊢
	: , :
56	instantiation	74, 62, 70	⊢
	: , :
57	assumption		⊢
58	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
59	instantiation	61, 62, 63	⊢
	:
60	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
61	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
62	instantiation	81, 64, 72	⊢
	: , : , :
63	instantiation	65, 66, 67	⊢
	: , : , :
64	instantiation	68, 70, 71	⊢
	: , :
65	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
66	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
67	instantiation	69, 70, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
69	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
70	instantiation	81, 82, 73	⊢
	: , : , :
71	instantiation	74, 75, 76	⊢
	: , :
72	assumption		⊢
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
74	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
75	instantiation	81, 77, 78	⊢
	: , : , :
76	instantiation	79, 80	⊢
	:
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
78	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	81, 82, 83	⊢
	: , : , :
81	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat2