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	modus ponens	1, 2	⊢
1	instantiation	3, 85, 72, 43	⊢
	: , : , : , : , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.multiplication.distribute_through_summation
4	instantiation	93, 21, 5	,  ⊢
	: , : , :
5	instantiation	6, 7, 8, 9	,  ⊢
	: , :
6	theorem		⊢
	proveit.numbers.division.div_real_closure
7	instantiation	93, 31, 10	⊢
	: , : , :
8	instantiation	11, 22, 95	,  ⊢
	: , :
9	instantiation	12, 13	,  ⊢
	:
10	instantiation	93, 38, 82	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
13	instantiation	14, 15, 16	,  ⊢
	: , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
15	instantiation	17, 18, 19	,  ⊢
	:
16	instantiation	93, 21, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
18	instantiation	93, 21, 22	,  ⊢
	: , : , :
19	instantiation	23, 24	,  ⊢
	: , :
20	instantiation	93, 31, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	26, 27, 28	,  ⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
24	instantiation	29, 30	,  ⊢
	: , :
25	instantiation	93, 38, 92	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
27	instantiation	93, 31, 32	,  ⊢
	: , : , :
28	instantiation	33, 34	⊢
	:
29	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
30	instantiation	35, 36, 46, 37	,  ⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	93, 38, 46	,  ⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.real_closure
34	instantiation	39, 40, 41	⊢
	: , :
35	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
36	instantiation	42, 43, 85, 44	⊢
	: , : , : , : , :
37	instantiation	45, 46, 47, 48	,  ⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
40	instantiation	49, 50, 51	⊢
	: , : , :
41	instantiation	52, 53	⊢
	:
42	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
43	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
44	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
45	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
46	instantiation	93, 54, 63	,  ⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
48	instantiation	55, 56, 57	,  ⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
50	instantiation	58, 59	⊢
	: , :
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
52	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
53	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
54	instantiation	80, 61, 62	⊢
	: , :
55	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
56	instantiation	60, 61, 62, 63	,  ⊢
	: , : , :
57	instantiation	64, 65	⊢
	:
58	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
60	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
61	instantiation	86, 66, 82	⊢
	: , :
62	instantiation	91, 67	⊢
	:
63	assumption		⊢
64	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
65	instantiation	68, 69	⊢
	:
66	instantiation	91, 87	⊢
	:
67	instantiation	86, 74, 82	⊢
	: , :
68	theorem		⊢
	proveit.numbers.negation.int_neg_closure
69	instantiation	70, 71, 72	⊢
	: , :
70	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
71	instantiation	73, 74, 75	⊢
	:
72	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
73	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
74	instantiation	93, 76, 84	⊢
	: , : , :
75	instantiation	77, 78, 79	⊢
	: , : , :
76	instantiation	80, 82, 83	⊢
	: , :
77	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
78	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
79	instantiation	81, 82, 83, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
81	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
82	instantiation	93, 94, 85	⊢
	: , : , :
83	instantiation	86, 87, 88	⊢
	: , :
84	assumption		⊢
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	93, 89, 90	⊢
	: , : , :
88	instantiation	91, 92	⊢
	:
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
90	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
91	theorem		⊢
	proveit.numbers.negation.int_closure
92	instantiation	93, 94, 95	⊢
	: , : , :
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat2