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	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
2	reference	89	⊢
3	instantiation	6	⊢
	: , :
4	instantiation	87, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11	,  ⊢
	: , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	87, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
10	instantiation	14, 15, 16	,  ⊢
	:
11	instantiation	87, 20, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
13	instantiation	87, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
15	instantiation	87, 20, 21	,  ⊢
	: , : , :
16	instantiation	22, 23	,  ⊢
	: , :
17	instantiation	87, 32, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
19	instantiation	87, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	27, 28, 29	,  ⊢
	: , :
22	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
23	instantiation	30, 31	,  ⊢
	: , :
24	instantiation	87, 39, 86	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
27	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
28	instantiation	87, 32, 33	,  ⊢
	: , : , :
29	instantiation	34, 35	⊢
	:
30	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
31	instantiation	36, 37, 53, 38	,  ⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	87, 39, 53	,  ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.real_closure
35	instantiation	40, 41, 42	⊢
	: , :
36	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
37	instantiation	43, 44, 79, 45	⊢
	: , : , : , : , :
38	instantiation	46, 47	,  ⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
41	instantiation	48, 49, 50	⊢
	: , : , :
42	instantiation	51, 52	⊢
	:
43	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
44	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
45	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
47	instantiation	67, 53, 54	,  ⊢
	:
48	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
49	instantiation	55, 56	⊢
	: , :
50	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
51	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
52	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
53	instantiation	87, 57, 63	,  ⊢
	: , : , :
54	instantiation	71, 58, 59	,  ⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
57	instantiation	74, 62, 81	⊢
	: , :
58	instantiation	60, 61	⊢
	:
59	instantiation	75, 62, 81, 63	,  ⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
61	instantiation	64, 65, 66	⊢
	: , :
62	instantiation	80, 68, 76	⊢
	: , :
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
65	instantiation	67, 68, 69	⊢
	:
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
67	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
68	instantiation	87, 70, 78	⊢
	: , : , :
69	instantiation	71, 72, 73	⊢
	: , : , :
70	instantiation	74, 76, 77	⊢
	: , :
71	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
72	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
73	instantiation	75, 76, 77, 78	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
75	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
76	instantiation	87, 88, 79	⊢
	: , : , :
77	instantiation	80, 81, 82	⊢
	: , :
78	assumption		⊢
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
81	instantiation	87, 83, 84	⊢
	: , : , :
82	instantiation	85, 86	⊢
	:
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
84	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
85	theorem		⊢
	proveit.numbers.negation.int_closure
86	instantiation	87, 88, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat2