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