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