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, 4	⊢
	: , :
1	theorem		⊢
	proveit.numbers.integration.boundedInvSqrdIntegral
2	instantiation	86, 5, 6	⊢
	: , : , :
3	instantiation	7, 8, 9	⊢
	:
4	instantiation	10, 15	⊢
	: , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
6	instantiation	86, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
8	instantiation	86, 76, 13	⊢
	: , : , :
9	instantiation	14, 17, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.relax_less
11	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
12	instantiation	16, 48, 17	⊢
	:
13	instantiation	86, 81, 18	⊢
	: , : , :
14	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
15	instantiation	51, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
17	instantiation	21, 28, 22	⊢
	: , : , :
18	instantiation	72, 73, 23	⊢
	: , :
19	instantiation	24, 25, 26, 69, 27, 28	⊢
	: , : , :
20	instantiation	29, 30, 31	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
22	instantiation	32, 80, 65, 55	⊢
	: , : , :
23	instantiation	86, 33, 34	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
25	instantiation	86, 76, 35	⊢
	: , : , :
26	instantiation	86, 76, 36	⊢
	: , : , :
27	instantiation	37, 80, 65, 55	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	38, 41, 88, 83, 43, 39, 44, 63, 62	⊢
	: , : , : , : , : , :
31	instantiation	40, 83, 88, 41, 42, 43, 44, 63, 62, 45*	⊢
	: , : , : , : , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
33	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
34	instantiation	46, 47	⊢
	:
35	instantiation	86, 81, 48	⊢
	: , : , :
36	instantiation	86, 81, 65	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
38	theorem		⊢
	proveit.numbers.addition.disassociation
39	instantiation	49	⊢
	: , :
40	theorem		⊢
	proveit.numbers.addition.association
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	instantiation	49	⊢
	: , :
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	86, 70, 50	⊢
	: , : , :
45	instantiation	51, 52, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.int_neg_closure
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
48	instantiation	86, 54, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	instantiation	56, 57, 79	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.equality.sub_right_side_into
52	instantiation	58, 62, 59, 60	⊢
	: , : , :
53	instantiation	61, 62, 63	⊢
	: , :
54	instantiation	64, 80, 65	⊢
	: , :
55	assumption		⊢
56	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
57	instantiation	66, 67	⊢
	: , :
58	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
59	instantiation	86, 70, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
61	theorem		⊢
	proveit.numbers.addition.commutation
62	instantiation	86, 70, 69	⊢
	: , : , :
63	instantiation	86, 70, 71	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
65	instantiation	72, 73, 82	⊢
	: , :
66	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
68	instantiation	86, 76, 74	⊢
	: , : , :
69	instantiation	86, 76, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	86, 76, 77	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
73	instantiation	86, 78, 79	⊢
	: , : , :
74	instantiation	86, 81, 85	⊢
	: , : , :
75	instantiation	86, 81, 80	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	86, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
79	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
80	instantiation	86, 87, 83	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
82	instantiation	84, 85	⊢
	:
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
84	theorem		⊢
	proveit.numbers.negation.int_closure
85	instantiation	86, 87, 88	⊢
	: , : , :
86	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements