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, 4, 5, 6	,  ⊢
	: , : , :
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOC
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	71, 46, 73, 74	⊢
	: , :
5	instantiation	7, 46, 18	⊢
	: , :
6	instantiation	8, 9, 10	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
8	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
9	instantiation	45, 11	,  ⊢
	:
10	instantiation	12, 13, 14	⊢
	: , : , :
11	instantiation	15, 53, 16	,  ⊢
	: , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	17, 46, 18, 66, 19, 20, 21*	⊢
	: , : , :
14	instantiation	22, 23, 37, 24, 74, 25*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
16	instantiation	26, 27	,  ⊢
	:
17	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
18	instantiation	90, 28, 29	⊢
	: , : , :
19	instantiation	30, 31, 32	⊢
	: , :
20	instantiation	43, 33	⊢
	: , :
21	instantiation	34, 37, 35	⊢
	: , :
22	theorem		⊢
	proveit.numbers.division.mult_frac_left
23	instantiation	90, 49, 72	⊢
	: , : , :
24	instantiation	90, 49, 73	⊢
	: , : , :
25	instantiation	36, 37	⊢
	:
26	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
27	instantiation	38, 41, 39	,  ⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
29	instantiation	40, 41	⊢
	:
30	theorem		⊢
	proveit.numbers.absolute_value.weak_upper_bound
31	instantiation	42, 59, 66, 60	⊢
	: , : , :
32	instantiation	43, 44	⊢
	: , :
33	instantiation	45, 53	⊢
	:
34	theorem		⊢
	proveit.numbers.multiplication.commutation
35	instantiation	90, 49, 66	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
37	instantiation	90, 49, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
39	instantiation	47, 48	,  ⊢
	: , :
40	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
41	instantiation	90, 49, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
43	theorem		⊢
	proveit.numbers.ordering.relax_less
44	instantiation	51, 59, 66, 60	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
46	instantiation	90, 52, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
48	instantiation	54, 55, 56, 57	,  ⊢
	: , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	58, 59, 66, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
54	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
55	instantiation	61, 62, 89, 63	⊢
	: , : , : , : , :
56	instantiation	90, 64, 68	⊢
	: , : , :
57	assumption		⊢
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
59	instantiation	65, 66	⊢
	:
60	instantiation	67, 68	⊢
	:
61	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
62	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
63	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
64	instantiation	69, 70, 83	⊢
	: , :
65	theorem		⊢
	proveit.numbers.negation.real_closure
66	instantiation	71, 72, 73, 74	⊢
	: , :
67	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
70	instantiation	75, 76, 84	⊢
	: , :
71	theorem		⊢
	proveit.numbers.division.div_real_closure
72	instantiation	90, 78, 77	⊢
	: , : , :
73	instantiation	90, 78, 79	⊢
	: , : , :
74	instantiation	80, 81	⊢
	:
75	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
76	instantiation	82, 83	⊢
	:
77	instantiation	90, 85, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
79	instantiation	90, 85, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
82	theorem		⊢
	proveit.numbers.negation.int_closure
83	instantiation	90, 87, 88	⊢
	: , : , :
84	instantiation	90, 91, 89	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	90, 91, 92	⊢
	: , : , :
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.numerals.decimals.nat1
90	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements