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	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_real_closure
4	instantiation	5, 6, 7, 8	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_real_closure
6	instantiation	101, 46, 9	⊢
	: , : , :
7	instantiation	54, 10, 11	,  ⊢
	: , :
8	instantiation	12, 103, 13, 14, 15	,  ⊢
	: , :
9	instantiation	101, 53, 90	⊢
	: , : , :
10	instantiation	101, 46, 16	⊢
	: , : , :
11	instantiation	17, 35, 103	,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
13	instantiation	18	⊢
	: , :
14	instantiation	101, 19, 20	⊢
	: , : , :
15	instantiation	21, 22, 23	,  ⊢
	: , :
16	instantiation	101, 53, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
20	instantiation	101, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
22	instantiation	27, 28, 29	,  ⊢
	:
23	instantiation	101, 34, 30	⊢
	: , : , :
24	instantiation	101, 102, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
26	instantiation	101, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
28	instantiation	101, 34, 35	,  ⊢
	: , : , :
29	instantiation	36, 37	,  ⊢
	: , :
30	instantiation	101, 46, 38	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
33	instantiation	101, 39, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	41, 42, 43	,  ⊢
	: , :
36	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
37	instantiation	44, 45	,  ⊢
	: , :
38	instantiation	101, 53, 100	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
41	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
42	instantiation	101, 46, 47	,  ⊢
	: , : , :
43	instantiation	48, 49	⊢
	:
44	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
45	instantiation	50, 51, 67, 52	,  ⊢
	: , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	101, 53, 67	,  ⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.negation.real_closure
49	instantiation	54, 55, 56	⊢
	: , :
50	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
51	instantiation	57, 58, 93, 59	⊢
	: , : , : , : , :
52	instantiation	60, 61	,  ⊢
	:
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
55	instantiation	62, 63, 64	⊢
	: , : , :
56	instantiation	65, 66	⊢
	:
57	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
58	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
61	instantiation	81, 67, 68	,  ⊢
	:
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	69, 70	⊢
	: , :
64	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
65	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
66	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
67	instantiation	101, 71, 77	,  ⊢
	: , : , :
68	instantiation	85, 72, 73	,  ⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
71	instantiation	88, 76, 95	⊢
	: , :
72	instantiation	74, 75	⊢
	:
73	instantiation	89, 76, 95, 77	,  ⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
75	instantiation	78, 79, 80	⊢
	: , :
76	instantiation	94, 82, 90	⊢
	: , :
77	assumption		⊢
78	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
79	instantiation	81, 82, 83	⊢
	:
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
81	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
82	instantiation	101, 84, 92	⊢
	: , : , :
83	instantiation	85, 86, 87	⊢
	: , : , :
84	instantiation	88, 90, 91	⊢
	: , :
85	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
86	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
87	instantiation	89, 90, 91, 92	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
89	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
90	instantiation	101, 102, 93	⊢
	: , : , :
91	instantiation	94, 95, 96	⊢
	: , :
92	assumption		⊢
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
94	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
95	instantiation	101, 97, 98	⊢
	: , : , :
96	instantiation	99, 100	⊢
	:
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
98	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
99	theorem		⊢
	proveit.numbers.negation.int_closure
100	instantiation	101, 102, 103	⊢
	: , : , :
101	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
102	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat2