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	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	83, 4, 5	,  ⊢
	: , : , :
3	instantiation	12, 6	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
5	instantiation	83, 7, 8	,  ⊢
	: , : , :
6	instantiation	12, 9	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
8	instantiation	10, 11	,  ⊢
	:
9	instantiation	12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
11	instantiation	14, 15, 16	,  ⊢
	:
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	17, 18, 19, 20, 21*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
15	instantiation	83, 59, 22	⊢
	: , : , :
16	instantiation	23, 24	,  ⊢
	: , :
17	theorem		⊢
	proveit.numbers.division.div_as_mult
18	instantiation	83, 59, 25	⊢
	: , : , :
19	instantiation	83, 59, 26	⊢
	: , : , :
20	instantiation	64, 38	⊢
	:
21	instantiation	27, 28, 60, 29, 56, 30*	⊢
	: , : , :
22	instantiation	31, 32, 44, 33	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
24	instantiation	34, 35, 49, 36	,  ⊢
	: , :
25	instantiation	83, 62, 37	⊢
	: , : , :
26	instantiation	68, 69, 38	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
28	instantiation	83, 59, 55	⊢
	: , : , :
29	instantiation	83, 62, 39	⊢
	: , : , :
30	instantiation	40, 52, 41, 42*	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
32	instantiation	43, 44	⊢
	:
33	instantiation	45, 58	⊢
	:
34	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
35	instantiation	46, 47, 82, 48	⊢
	: , : , : , : , :
36	assumption		⊢
37	instantiation	83, 71, 49	⊢
	: , : , :
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
39	instantiation	83, 71, 50	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
41	instantiation	83, 59, 54	⊢
	: , : , :
42	instantiation	51, 52	⊢
	:
43	theorem		⊢
	proveit.numbers.negation.real_closure
44	instantiation	53, 54, 55, 56	⊢
	: , :
45	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
46	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
47	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
48	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
49	instantiation	83, 57, 58	⊢
	: , : , :
50	instantiation	79, 75	⊢
	:
51	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
52	instantiation	83, 59, 60	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.division.div_real_closure
54	instantiation	83, 62, 61	⊢
	: , : , :
55	instantiation	83, 62, 63	⊢
	: , : , :
56	instantiation	64, 65	⊢
	:
57	instantiation	66, 67, 80	⊢
	: , :
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	68, 69, 70	⊢
	: , : , :
61	instantiation	83, 71, 75	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
63	instantiation	83, 71, 72	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
65	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
66	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
67	instantiation	73, 74, 75	⊢
	: , :
68	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
69	instantiation	76, 77	⊢
	: , :
70	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
72	instantiation	83, 81, 78	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
74	instantiation	79, 80	⊢
	:
75	instantiation	83, 81, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	83, 84, 85	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
85	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements