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	96	⊢
3	instantiation	6	⊢
	: , :
4	instantiation	94, 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	94, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
10	instantiation	14, 15, 16	,  ⊢
	:
11	instantiation	94, 20, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
13	instantiation	94, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
15	instantiation	94, 20, 21	,  ⊢
	: , : , :
16	instantiation	22, 23	,  ⊢
	: , :
17	instantiation	94, 32, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
19	instantiation	94, 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	94, 39, 93	⊢
	: , : , :
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	94, 32, 33	,  ⊢
	: , : , :
29	instantiation	34, 35	⊢
	:
30	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
31	instantiation	36, 37, 47, 38	,  ⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	94, 39, 47	,  ⊢
	: , : , :
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, 86, 45	⊢
	: , : , : , : , :
38	instantiation	46, 47, 48, 49	,  ⊢
	: , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
41	instantiation	50, 51, 52	⊢
	: , : , :
42	instantiation	53, 54	⊢
	:
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.ordering.less_is_not_eq_int
47	instantiation	94, 55, 64	,  ⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
49	instantiation	56, 57, 58	,  ⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
51	instantiation	59, 60	⊢
	: , :
52	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
53	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
54	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
55	instantiation	81, 62, 63	⊢
	: , :
56	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
57	instantiation	61, 62, 63, 64	,  ⊢
	: , : , :
58	instantiation	65, 66	⊢
	:
59	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
61	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
62	instantiation	87, 67, 83	⊢
	: , :
63	instantiation	92, 68	⊢
	:
64	assumption		⊢
65	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
66	instantiation	69, 70	⊢
	:
67	instantiation	92, 88	⊢
	:
68	instantiation	87, 75, 83	⊢
	: , :
69	theorem		⊢
	proveit.numbers.negation.int_neg_closure
70	instantiation	71, 72, 73	⊢
	: , :
71	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
72	instantiation	74, 75, 76	⊢
	:
73	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
74	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
75	instantiation	94, 77, 85	⊢
	: , : , :
76	instantiation	78, 79, 80	⊢
	: , : , :
77	instantiation	81, 83, 84	⊢
	: , :
78	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
79	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
80	instantiation	82, 83, 84, 85	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
82	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
83	instantiation	94, 95, 86	⊢
	: , : , :
84	instantiation	87, 88, 89	⊢
	: , :
85	assumption		⊢
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
87	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
88	instantiation	94, 90, 91	⊢
	: , : , :
89	instantiation	92, 93	⊢
	:
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
91	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
92	theorem		⊢
	proveit.numbers.negation.int_closure
93	instantiation	94, 95, 96	⊢
	: , : , :
94	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat2