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	deduction	1	⊢
1	instantiation	2, 3, 4	,  ⊢
	: , :
2	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_right
3	instantiation	5, 9	⊢
	: , :
4	instantiation	6, 7, 8, 9	,  ⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.unfold_not_equals
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.not_int_if_not_int_in_interval
7	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
8	instantiation	10, 11, 12, 66, 13	⊢
	: , : , :
9	assumption		⊢
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOO
11	instantiation	29, 15, 14	⊢
	: , :
12	instantiation	29, 15, 83	⊢
	: , :
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	124, 120, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
17	instantiation	20, 74, 21, 22, 23*, 24*	⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	instantiation	124, 122, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
21	instantiation	29, 66, 85	⊢
	: , :
22	instantiation	30, 74, 66, 85, 31, 32	⊢
	: , : , :
23	instantiation	40, 33, 34, 35	⊢
	: , : , : , :
24	instantiation	88, 36, 37	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	instantiation	38, 66, 85, 39, 46	⊢
	: , : , :
27	instantiation	40, 48, 41, 42	⊢
	: , : , : , :
28	instantiation	43, 102	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
30	theorem		⊢
	proveit.numbers.ordering.less_add_right
31	instantiation	44, 74, 85, 75	⊢
	: , : , :
32	instantiation	45, 46	⊢
	: , :
33	instantiation	47, 56, 72, 48	⊢
	: , : , :
34	instantiation	67	⊢
	:
35	instantiation	60, 49	⊢
	: , :
36	instantiation	50, 51, 126, 110, 52, 53, 57, 56, 54	⊢
	: , : , : , : , : , :
37	instantiation	55, 56, 57, 58	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
39	instantiation	59, 74, 85, 75	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
41	instantiation	67	⊢
	:
42	instantiation	60, 61	⊢
	: , :
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
45	theorem		⊢
	proveit.numbers.ordering.relax_less
46	instantiation	62, 104	⊢
	:
47	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
48	instantiation	63, 102, 123, 64*	⊢
	: , : , : , :
49	instantiation	68, 65	⊢
	:
50	theorem		⊢
	proveit.numbers.addition.disassociation
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
53	instantiation	105	⊢
	: , :
54	instantiation	124, 114, 74	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
56	instantiation	124, 114, 85	⊢
	: , : , :
57	instantiation	124, 114, 66	⊢
	: , : , :
58	instantiation	67	⊢
	:
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_upper_bound
60	theorem		⊢
	proveit.logic.equality.equals_reversal
61	instantiation	68, 72	⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
63	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
64	instantiation	88, 69, 70	⊢
	: , : , :
65	instantiation	71, 72	⊢
	:
66	instantiation	73, 74, 85, 75	⊢
	: , : , :
67	axiom		⊢
	proveit.logic.equality.equals_reflexivity
68	theorem		⊢
	proveit.numbers.addition.elim_zero_left
69	instantiation	96, 126, 76, 77, 78, 79	⊢
	: , : , : , :
70	instantiation	80, 81, 82	⊢
	:
71	theorem		⊢
	proveit.numbers.negation.complex_closure
72	instantiation	124, 114, 83	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
74	instantiation	84, 85	⊢
	:
75	instantiation	86, 87	⊢
	:
76	instantiation	105	⊢
	: , :
77	instantiation	105	⊢
	: , :
78	instantiation	88, 89, 90	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
80	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
81	instantiation	124, 114, 91	⊢
	: , : , :
82	instantiation	92, 93	⊢
	:
83	instantiation	124, 120, 94	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.negation.real_closure
85	instantiation	124, 120, 95	⊢
	: , : , :
86	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_in_interval
87	assumption		⊢
88	axiom		⊢
	proveit.logic.equality.equals_transitivity
89	instantiation	96, 126, 97, 98, 99, 100	⊢
	: , : , : , :
90	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
91	instantiation	124, 120, 101	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
93	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
94	instantiation	124, 122, 102	⊢
	: , : , :
95	instantiation	124, 103, 104	⊢
	: , : , :
96	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
97	instantiation	105	⊢
	: , :
98	instantiation	105	⊢
	: , :
99	instantiation	106, 108	⊢
	:
100	instantiation	107, 108	⊢
	:
101	instantiation	124, 122, 109	⊢
	: , : , :
102	instantiation	124, 125, 110	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
104	instantiation	111, 112, 113	⊢
	: , :
105	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
106	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
107	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
108	instantiation	124, 114, 115	⊢
	: , : , :
109	instantiation	124, 125, 116	⊢
	: , : , :
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
111	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
112	instantiation	124, 118, 117	⊢
	: , : , :
113	instantiation	124, 118, 119	⊢
	: , : , :
114	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
115	instantiation	124, 120, 121	⊢
	: , : , :
116	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
117	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
118	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
119	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
120	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
121	instantiation	124, 122, 123	⊢
	: , : , :
122	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
123	instantiation	124, 125, 126	⊢
	: , : , :
124	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
125	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
126	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements