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	4, 53, 5, 6, 7*, 8*	⊢
	: , : , :
3	instantiation	9, 10, 16	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	11, 41, 63	⊢
	: , :
6	instantiation	12, 53, 41, 63, 13, 37	⊢
	: , : , :
7	instantiation	14, 32, 15, 16	⊢
	: , : , :
8	instantiation	56, 17, 18	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	19, 41, 63, 20, 21	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
12	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
13	instantiation	22, 53, 63, 54	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
15	instantiation	91, 78, 23	⊢
	: , : , :
16	instantiation	24, 44, 90, 25*	⊢
	: , : , : , :
17	instantiation	26, 27, 93, 55, 28, 29, 33, 32, 30	⊢
	: , : , : , : , : , :
18	instantiation	31, 32, 33, 34	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.ordering.less_add_right
20	instantiation	35, 53, 63, 54	⊢
	: , : , :
21	instantiation	36, 37	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
23	instantiation	91, 84, 38	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
25	instantiation	56, 39, 40	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.disassociation
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	71	⊢
	: , :
30	instantiation	91, 78, 53	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
32	instantiation	91, 78, 63	⊢
	: , : , :
33	instantiation	91, 78, 41	⊢
	: , : , :
34	instantiation	42	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
36	theorem		⊢
	proveit.numbers.ordering.relax_less
37	instantiation	43, 77	⊢
	:
38	instantiation	91, 89, 44	⊢
	: , : , :
39	instantiation	64, 93, 45, 46, 47, 48	⊢
	: , : , : , :
40	instantiation	49, 50, 51	⊢
	:
41	instantiation	52, 53, 63, 54	⊢
	: , : , :
42	axiom		⊢
	proveit.logic.equality.equals_reflexivity
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
44	instantiation	91, 92, 55	⊢
	: , : , :
45	instantiation	71	⊢
	: , :
46	instantiation	71	⊢
	: , :
47	instantiation	56, 57, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
49	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
50	instantiation	91, 78, 59	⊢
	: , : , :
51	instantiation	60, 61	⊢
	:
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
53	instantiation	62, 63	⊢
	:
54	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_round_in_interval
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	axiom		⊢
	proveit.logic.equality.equals_transitivity
57	instantiation	64, 93, 65, 66, 67, 68	⊢
	: , : , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
59	instantiation	91, 84, 69	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
61	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
62	theorem		⊢
	proveit.numbers.negation.real_closure
63	instantiation	91, 84, 70	⊢
	: , : , :
64	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
65	instantiation	71	⊢
	: , :
66	instantiation	71	⊢
	: , :
67	instantiation	72, 74	⊢
	:
68	instantiation	73, 74	⊢
	:
69	instantiation	91, 89, 75	⊢
	: , : , :
70	instantiation	91, 76, 77	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
72	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
73	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
74	instantiation	91, 78, 79	⊢
	: , : , :
75	instantiation	91, 92, 80	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
77	instantiation	81, 82, 83	⊢
	: , :
78	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
79	instantiation	91, 84, 85	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
81	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
82	instantiation	91, 87, 86	⊢
	: , : , :
83	instantiation	91, 87, 88	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
85	instantiation	91, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
88	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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