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