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	,  ⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
2	instantiation	3, 4, 5	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.logic.equality.sub_right_side_into
4	instantiation	85, 6, 7	,  ⊢
	: , : , :
5	instantiation	14, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
7	instantiation	85, 9, 10	,  ⊢
	: , : , :
8	instantiation	14, 11	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
10	instantiation	12, 13	,  ⊢
	:
11	instantiation	14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
13	instantiation	16, 17, 18	,  ⊢
	:
14	axiom		⊢
	proveit.logic.equality.substitution
15	instantiation	19, 20, 21, 22, 23*	⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
17	instantiation	85, 61, 24	⊢
	: , : , :
18	instantiation	25, 26	,  ⊢
	: , :
19	theorem		⊢
	proveit.numbers.division.div_as_mult
20	instantiation	85, 61, 27	⊢
	: , : , :
21	instantiation	85, 61, 28	⊢
	: , : , :
22	instantiation	66, 40	⊢
	:
23	instantiation	29, 30, 62, 31, 58, 32*	⊢
	: , : , :
24	instantiation	33, 34, 46, 35	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
26	instantiation	36, 37, 51, 38	,  ⊢
	: , :
27	instantiation	85, 64, 39	⊢
	: , : , :
28	instantiation	70, 71, 40	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
30	instantiation	85, 61, 57	⊢
	: , : , :
31	instantiation	85, 64, 41	⊢
	: , : , :
32	instantiation	42, 54, 43, 44*	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
34	instantiation	45, 46	⊢
	:
35	instantiation	47, 60	⊢
	:
36	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
37	instantiation	48, 49, 84, 50	⊢
	: , : , : , : , :
38	assumption		⊢
39	instantiation	85, 73, 51	⊢
	: , : , :
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
41	instantiation	85, 73, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
43	instantiation	85, 61, 56	⊢
	: , : , :
44	instantiation	53, 54	⊢
	:
45	theorem		⊢
	proveit.numbers.negation.real_closure
46	instantiation	55, 56, 57, 58	⊢
	: , :
47	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
48	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
49	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
51	instantiation	85, 59, 60	⊢
	: , : , :
52	instantiation	81, 77	⊢
	:
53	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
54	instantiation	85, 61, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.division.div_real_closure
56	instantiation	85, 64, 63	⊢
	: , : , :
57	instantiation	85, 64, 65	⊢
	: , : , :
58	instantiation	66, 67	⊢
	:
59	instantiation	68, 69, 82	⊢
	: , :
60	assumption		⊢
61	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
62	instantiation	70, 71, 72	⊢
	: , : , :
63	instantiation	85, 73, 77	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
65	instantiation	85, 73, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
69	instantiation	75, 76, 77	⊢
	: , :
70	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
71	instantiation	78, 79	⊢
	: , :
72	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	instantiation	85, 83, 80	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
76	instantiation	81, 82	⊢
	:
77	instantiation	85, 83, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
81	theorem		⊢
	proveit.numbers.negation.int_closure
82	instantiation	85, 86, 87	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
85	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
87	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements