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	generalization	1	⊢
1	instantiation	2, 3	,  ⊢
	: , :
2	theorem		⊢
	proveit.logic.equality.equals_reversal
3	instantiation	4, 14, 5, 6, 7*	,  ⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.division.prod_of_fracs
5	instantiation	92, 8, 9	⊢
	: , : , :
6	instantiation	10, 11, 12	,  ⊢
	: , :
7	instantiation	13, 14	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	92, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
11	instantiation	17, 18, 19	,  ⊢
	:
12	instantiation	92, 24, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
14	instantiation	92, 24, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
16	instantiation	92, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
18	instantiation	92, 24, 25	,  ⊢
	: , : , :
19	instantiation	26, 27	,  ⊢
	: , :
20	instantiation	92, 37, 28	⊢
	: , : , :
21	instantiation	92, 37, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23	instantiation	92, 30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	32, 33, 34	,  ⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
27	instantiation	35, 36	,  ⊢
	: , :
28	instantiation	92, 44, 91	⊢
	: , : , :
29	instantiation	92, 44, 81	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
32	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
33	instantiation	92, 37, 38	,  ⊢
	: , : , :
34	instantiation	39, 40	⊢
	:
35	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
36	instantiation	41, 42, 58, 43	,  ⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	92, 44, 58	,  ⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.real_closure
40	instantiation	45, 46, 47	⊢
	: , :
41	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
42	instantiation	48, 49, 84, 50	⊢
	: , : , : , : , :
43	instantiation	51, 52	,  ⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
46	instantiation	53, 54, 55	⊢
	: , : , :
47	instantiation	56, 57	⊢
	:
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	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
52	instantiation	72, 58, 59	,  ⊢
	:
53	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
54	instantiation	60, 61	⊢
	: , :
55	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
56	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
57	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
58	instantiation	92, 62, 68	,  ⊢
	: , : , :
59	instantiation	76, 63, 64	,  ⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
62	instantiation	79, 67, 86	⊢
	: , :
63	instantiation	65, 66	⊢
	:
64	instantiation	80, 67, 86, 68	,  ⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
66	instantiation	69, 70, 71	⊢
	: , :
67	instantiation	85, 73, 81	⊢
	: , :
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
70	instantiation	72, 73, 74	⊢
	:
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
72	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
73	instantiation	92, 75, 83	⊢
	: , : , :
74	instantiation	76, 77, 78	⊢
	: , : , :
75	instantiation	79, 81, 82	⊢
	: , :
76	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
77	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
78	instantiation	80, 81, 82, 83	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
80	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
81	instantiation	92, 93, 84	⊢
	: , : , :
82	instantiation	85, 86, 87	⊢
	: , :
83	assumption		⊢
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
85	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
86	instantiation	92, 88, 89	⊢
	: , : , :
87	instantiation	90, 91	⊢
	:
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
89	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
90	theorem		⊢
	proveit.numbers.negation.int_closure
91	instantiation	92, 93, 94	⊢
	: , : , :
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements