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	98, 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	98, 14, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
10	instantiation	16, 17, 18	,  ⊢
	:
11	instantiation	98, 23, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
13	instantiation	98, 23, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
15	instantiation	98, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
17	instantiation	98, 23, 24	,  ⊢
	: , : , :
18	instantiation	25, 26	,  ⊢
	: , :
19	instantiation	98, 36, 27	⊢
	: , : , :
20	instantiation	98, 36, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	98, 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	98, 43, 97	⊢
	: , : , :
28	instantiation	98, 43, 87	⊢
	: , : , :
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	98, 36, 37	,  ⊢
	: , : , :
33	instantiation	38, 39	⊢
	:
34	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
35	instantiation	40, 41, 51, 42	,  ⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	98, 43, 51	,  ⊢
	: , : , :
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, 90, 49	⊢
	: , : , : , : , :
42	instantiation	50, 51, 52, 53	,  ⊢
	: , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
45	instantiation	54, 55, 56	⊢
	: , : , :
46	instantiation	57, 58	⊢
	:
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.ordering.less_is_not_eq_int
51	instantiation	98, 59, 68	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
53	instantiation	60, 61, 62	,  ⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
55	instantiation	63, 64	⊢
	: , :
56	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
57	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
58	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
59	instantiation	85, 66, 67	⊢
	: , :
60	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
61	instantiation	65, 66, 67, 68	,  ⊢
	: , : , :
62	instantiation	69, 70	⊢
	:
63	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
65	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
66	instantiation	91, 71, 87	⊢
	: , :
67	instantiation	96, 72	⊢
	:
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
70	instantiation	73, 74	⊢
	:
71	instantiation	96, 92	⊢
	:
72	instantiation	91, 79, 87	⊢
	: , :
73	theorem		⊢
	proveit.numbers.negation.int_neg_closure
74	instantiation	75, 76, 77	⊢
	: , :
75	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
76	instantiation	78, 79, 80	⊢
	:
77	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
78	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
79	instantiation	98, 81, 89	⊢
	: , : , :
80	instantiation	82, 83, 84	⊢
	: , : , :
81	instantiation	85, 87, 88	⊢
	: , :
82	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
83	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
84	instantiation	86, 87, 88, 89	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
86	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
87	instantiation	98, 99, 90	⊢
	: , : , :
88	instantiation	91, 92, 93	⊢
	: , :
89	assumption		⊢
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
92	instantiation	98, 94, 95	⊢
	: , : , :
93	instantiation	96, 97	⊢
	:
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
95	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
96	theorem		⊢
	proveit.numbers.negation.int_closure
97	instantiation	98, 99, 100	⊢
	: , : , :
98	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements